λ
Ratio Atlas
Atlas › Integer Profiles › Node 12,376,595

12,376,595

5 × 7 × 11 × 17 × 31 × 61
Deficient Odd Composite

12,376,595 factors as 5 × 7 × 11 × 17 × 31 × 61. Its 64 positive divisors give a proper-divisor sum of 8,193,517, so this integer is deficient. The Collatz stopping time is 197 steps.

Prime Factor Structure

Factorization String 5 × 7 × 11 × 17 × 31 × 61
Distinct Prime Factors 6
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 20,570,112
Proper Divisor Sum 8,193,517
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #12376579 ← → #12376603

Radix Representation

Decimal 12376595
Binary 101111001101101000010011 (24 bits)
Octal 0o57155023
Hexadecimal 0xBCDA13

Divisor Catalog (60 of 64)

1 5 7 11 17 31 35 55 61 77 85 119 155 187 217 305 341 385 427 527 595 671 935 1,037 1,085 1,309 1,705 1,891 2,135 2,387 2,635 3,355 3,689 4,697 5,185 5,797 6,545 7,259 9,455 11,407 11,935 13,237 18,445 20,801 23,485 28,985 32,147 36,295 40,579 57,035 66,185 79,849 104,005 145,607 160,735 202,895 225,029 353,617 399,245 728,035

Collatz Trajectory (197 steps to reach 1)

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

12,376,595 37,129,786 18,564,893 55,694,680 27,847,340 13,923,670 6,961,835 20,885,506 10,442,753 31,328,260 15,664,130 7,832,065 23,496,196 11,748,098 5,874,049 17,622,148 8,811,074 4,405,537 13,216,612 6,608,306 3,304,153 9,912,460 4,956,230 2,478,115 7,434,346 3,717,173 11,151,520 5,575,760 2,787,880 1,393,940 696,970 348,485 1,045,456 522,728 261,364 130,682 65,341 196,024 98,012 49,006 24,503 73,510 36,755 110,266 55,133 165,400 82,700 41,350 20,675 62,026 31,013 93,040 46,520 23,260 11,630 5,815 17,446 8,723 26,170 13,085

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #12,376,594 Browse Full Index Next Integer #12,376,596 →