λ
Ratio Atlas
Atlas › Integer Profiles › Node 7,664,475
7,664,475
3 × 52 × 7 × 13 × 1123
Abundant Odd Composite

Prime Factor Structure

Factorization String 3 × 5^2 × 7 × 13 × 1123
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 15,610,112
Proper Divisor Sum 7,945,637
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #7664453 ← → #7664477

Radix Representation

Decimal 7664475
Binary 11101001111001101011011 (23 bits)
Octal 0o35171533
Hexadecimal 0x74F35B

Divisor Catalog (48)

1 3 5 7 13 15 21 25 35 39 65 75 91 105 175 195 273 325 455 525 975 1,123 1,365 2,275 3,369 5,615 6,825 7,861 14,599 16,845 23,583 28,075 39,305 43,797 72,995 84,225 102,193 117,915 196,525 218,985 306,579 364,975 510,965 589,575 1,094,925 1,532,895 2,554,825 7,664,475

Collatz Trajectory (235 steps to reach 1)

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

7,664,475 22,993,426 11,496,713 34,490,140 17,245,070 8,622,535 25,867,606 12,933,803 38,801,410 19,400,705 58,202,116 29,101,058 14,550,529 43,651,588 21,825,794 10,912,897 32,738,692 16,369,346 8,184,673 24,554,020 12,277,010 6,138,505 18,415,516 9,207,758 4,603,879 13,811,638 6,905,819 20,717,458 10,358,729 31,076,188 15,538,094 7,769,047 23,307,142 11,653,571 34,960,714 17,480,357 52,441,072 26,220,536 13,110,268 6,555,134 3,277,567 9,832,702 4,916,351 14,749,054 7,374,527 22,123,582 11,061,791 33,185,374 16,592,687 49,778,062 24,889,031 74,667,094 37,333,547 112,000,642 56,000,321 168,000,964 84,000,482 42,000,241 126,000,724 63,000,362

Active Feeder Network

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

Feeder #6,449,649 Feeder #6,177,699 Feeder #4,494,486 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
← Previous Integer #7,664,474 Browse Full Index Next Integer #7,664,476 →