877,727

17 × 51631

Starting at 877,727, the Collatz iteration reaches 1 after 201 steps. The first transition is 2633182; the starting value is odd with 4 positive divisors.

Prime Factor Structure

Factorization String 17 × 51631

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 4

Divisor Sum (σ) 929,376

Proper Divisor Sum 51,649

Digit Sum / Digital Root 38 (Root: 2)

Adjacent Primes #877699 ← → #877739

Radix Representation

Decimal	877727
Binary	11010110010010011111 (20 bits)
Octal	0o3262237
Hexadecimal	0xD649F

Divisor Catalog (4)

1 17 51,631 877,727

Collatz Trajectory (201 steps to reach 1)

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

877,727 2,633,182 1,316,591 3,949,774 1,974,887 5,924,662 2,962,331 8,886,994 4,443,497 13,330,492 6,665,246 3,332,623 9,997,870 4,998,935 14,996,806 7,498,403 22,495,210 11,247,605 33,742,816 16,871,408 8,435,704 4,217,852 2,108,926 1,054,463 3,163,390 1,581,695 4,745,086 2,372,543 7,117,630 3,558,815 10,676,446 5,338,223 16,014,670 8,007,335 24,022,006 12,011,003 36,033,010 18,016,505 54,049,516 27,024,758 13,512,379 40,537,138 20,268,569 60,805,708 30,402,854 15,201,427 45,604,282 22,802,141 68,406,424 34,203,212 17,101,606 8,550,803 25,652,410 12,826,205 38,478,616 19,239,308 9,619,654 4,809,827 14,429,482 7,214,741

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