5,657,834

2 × 7² × 13 × 4441

Starting at 5,657,834, the Collatz iteration reaches 1 after 108 steps. The first transition is 2828917; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2 × 7^2 × 13 × 4441

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 10,634,148

Proper Divisor Sum 4,976,314

Digit Sum / Digital Root 38 (Root: 2)

Adjacent Primes #5657831 ← → #5657837

Radix Representation

Decimal	5657834
Binary	10101100101010011101010 (23 bits)
Octal	0o25452352
Hexadecimal	0x5654EA

Divisor Catalog (24)

1 2 7 13 14 26 49 91 98 182 637 1,274 4,441 8,882 31,087 57,733 62,174 115,466 217,609 404,131 435,218 808,262 2,828,917 5,657,834

Collatz Trajectory (108 steps to reach 1)

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

5,657,834 2,828,917 8,486,752 4,243,376 2,121,688 1,060,844 530,422 265,211 795,634 397,817 1,193,452 596,726 298,363 895,090 447,545 1,342,636 671,318 335,659 1,006,978 503,489 1,510,468 755,234 377,617 1,132,852 566,426 283,213 849,640 424,820 212,410 106,205 318,616 159,308 79,654 39,827 119,482 59,741 179,224 89,612 44,806 22,403 67,210 33,605 100,816 50,408 25,204 12,602 6,301 18,904 9,452 4,726 2,363 7,090 3,545 10,636 5,318 2,659 7,978 3,989 11,968 5,984

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