λ
Ratio Atlas
Atlas › Integer Profiles › Node 26,319,475
26,319,475
52 × 7 × 13 × 23 × 503
Deficient Odd Composite

Prime Factor Structure

Factorization String 5^2 × 7 × 13 × 23 × 503
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 41,997,312
Proper Divisor Sum 15,677,837
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #26319473 ← → #26319479

Radix Representation

Decimal 26319475
Binary 1100100011001101001110011 (25 bits)
Octal 0o144315163
Hexadecimal 0x1919A73

Divisor Catalog (48)

1 5 7 13 23 25 35 65 91 115 161 175 299 325 455 503 575 805 1,495 2,093 2,275 2,515 3,521 4,025 6,539 7,475 10,465 11,569 12,575 17,605 32,695 45,773 52,325 57,845 80,983 88,025 150,397 163,475 228,865 289,225 404,915 751,985 1,052,779 1,144,325 2,024,575 3,759,925 5,263,895 26,319,475

Collatz Trajectory (317 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

26,319,475 78,958,426 39,479,213 118,437,640 59,218,820 29,609,410 14,804,705 44,414,116 22,207,058 11,103,529 33,310,588 16,655,294 8,327,647 24,982,942 12,491,471 37,474,414 18,737,207 56,211,622 28,105,811 84,317,434 42,158,717 126,476,152 63,238,076 31,619,038 15,809,519 47,428,558 23,714,279 71,142,838 35,571,419 106,714,258 53,357,129 160,071,388 80,035,694 40,017,847 120,053,542 60,026,771 180,080,314 90,040,157 270,120,472 135,060,236 67,530,118 33,765,059 101,295,178 50,647,589 151,942,768 75,971,384 37,985,692 18,992,846 9,496,423 28,489,270 14,244,635 42,733,906 21,366,953 64,100,860 32,050,430 16,025,215 48,075,646 24,037,823 72,113,470 36,056,735

Active Feeder Network

Other feeder batches with open delivery windows. Each feeder keeps its own target batch.

Feeder #6,573,969 Feeder #6,845,105 Feeder #8,750,980 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
← Previous Integer #26,319,474 Browse Full Index Next Integer #26,319,476 →