λ
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12,377,768

23 × 13 × 17 × 7001
Abundant Even Composite

12,377,768 factors as 2^3 × 13 × 17 × 7001. Its 32 positive divisors give a proper-divisor sum of 14,089,792, so this integer is abundant. The Collatz stopping time is 91 steps.

Prime Factor Structure

Factorization String 2^3 × 13 × 17 × 7001
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 26,467,560
Proper Divisor Sum 14,089,792
Digit Sum / Digital Root 41 (Root: 5)
Adjacent Primes #12377753 ← → #12377789

Radix Representation

Decimal 12377768
Binary 101111001101111010101000 (24 bits)
Octal 0o57157250
Hexadecimal 0xBCDEA8

Divisor Catalog (32)

1 2 4 8 13 17 26 34 52 68 104 136 221 442 884 1,768 7,001 14,002 28,004 56,008 91,013 119,017 182,026 238,034 364,052 476,068 728,104 952,136 1,547,221 3,094,442 6,188,884 12,377,768

Collatz Trajectory (91 steps to reach 1)

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

12,377,768 6,188,884 3,094,442 1,547,221 4,641,664 2,320,832 1,160,416 580,208 290,104 145,052 72,526 36,263 108,790 54,395 163,186 81,593 244,780 122,390 61,195 183,586 91,793 275,380 137,690 68,845 206,536 103,268 51,634 25,817 77,452 38,726 19,363 58,090 29,045 87,136 43,568 21,784 10,892 5,446 2,723 8,170 4,085 12,256 6,128 3,064 1,532 766 383 1,150 575 1,726 863 2,590 1,295 3,886 1,943 5,830 2,915 8,746 4,373 13,120

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