880,608

2⁵ × 3 × 9173

Starting at 880,608, the Collatz iteration reaches 1 after 126 steps. The first transition is 440304; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2^5 × 3 × 9173

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 2,311,848

Proper Divisor Sum 1,431,240

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #880603 ← → #880661

Radix Representation

Decimal	880608
Binary	11010110111111100000 (20 bits)
Octal	0o3267740
Hexadecimal	0xD6FE0

Divisor Catalog (24)

1 2 3 4 6 8 12 16 24 32 48 96 9,173 18,346 27,519 36,692 55,038 73,384 110,076 146,768 220,152 293,536 440,304 880,608

Collatz Trajectory (126 steps to reach 1)

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

880,608 440,304 220,152 110,076 55,038 27,519 82,558 41,279 123,838 61,919 185,758 92,879 278,638 139,319 417,958 208,979 626,938 313,469 940,408 470,204 235,102 117,551 352,654 176,327 528,982 264,491 793,474 396,737 1,190,212 595,106 297,553 892,660 446,330 223,165 669,496 334,748 167,374 83,687 251,062 125,531 376,594 188,297 564,892 282,446 141,223 423,670 211,835 635,506 317,753 953,260 476,630 238,315 714,946 357,473 1,072,420 536,210 268,105 804,316 402,158 201,079

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