617,806

2 × 7 × 44129

Starting at 617,806, the Collatz iteration reaches 1 after 141 steps. The first transition is 308903; the starting value is even with 8 positive divisors.

Prime Factor Structure

Factorization String 2 × 7 × 44129

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 1,059,120

Proper Divisor Sum 441,314

Digit Sum / Digital Root 28 (Root: 1)

Adjacent Primes #617801 ← → #617809

Radix Representation

Decimal	617806
Binary	10010110110101001110 (20 bits)
Octal	0o2266516
Hexadecimal	0x96D4E

Divisor Catalog (8)

1 2 7 14 44,129 88,258 308,903 617,806

Collatz Trajectory (141 steps to reach 1)

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

617,806 308,903 926,710 463,355 1,390,066 695,033 2,085,100 1,042,550 521,275 1,563,826 781,913 2,345,740 1,172,870 586,435 1,759,306 879,653 2,638,960 1,319,480 659,740 329,870 164,935 494,806 247,403 742,210 371,105 1,113,316 556,658 278,329 834,988 417,494 208,747 626,242 313,121 939,364 469,682 234,841 704,524 352,262 176,131 528,394 264,197 792,592 396,296 198,148 99,074 49,537 148,612 74,306 37,153 111,460 55,730 27,865 83,596 41,798 20,899 62,698 31,349 94,048 47,024 23,512

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