1,287,832

2³ × 7 × 13 × 29 × 61

Starting at 1,287,832, the Collatz iteration reaches 1 after 111 steps. The first transition is 643916; the starting value is even with 64 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 7 × 13 × 29 × 61

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 64

Divisor Sum (σ) 3,124,800

Proper Divisor Sum 1,836,968

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #1287829 ← → #1287841

Radix Representation

Decimal	1287832
Binary	100111010011010011000 (21 bits)
Octal	0o4723230
Hexadecimal	0x13A698

Divisor Catalog (60 of 64)

1 2 4 7 8 13 14 26 28 29 52 56 58 61 91 104 116 122 182 203 232 244 364 377 406 427 488 728 754 793 812 854 1,508 1,586 1,624 1,708 1,769 2,639 3,016 3,172 3,416 3,538 5,278 5,551 6,344 7,076 10,556 11,102 12,383 14,152 21,112 22,204 22,997 24,766 44,408 45,994 49,532 91,988 99,064 160,979

Collatz Trajectory (111 steps to reach 1)

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

1,287,832 643,916 321,958 160,979 482,938 241,469 724,408 362,204 181,102 90,551 271,654 135,827 407,482 203,741 611,224 305,612 152,806 76,403 229,210 114,605 343,816 171,908 85,954 42,977 128,932 64,466 32,233 96,700 48,350 24,175 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

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