365,871

3 × 11 × 11087

Starting at 365,871, the Collatz iteration reaches 1 after 117 steps. The first transition is 1097614; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 3 × 11 × 11087

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 532,224

Proper Divisor Sum 166,353

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #365851 ← → #365903

Radix Representation

Decimal	365871
Binary	1011001010100101111 (19 bits)
Octal	0o1312457
Hexadecimal	0x5952F

Divisor Catalog (8)

1 3 11 33 11,087 33,261 121,957 365,871

Collatz Trajectory (117 steps to reach 1)

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

365,871 1,097,614 548,807 1,646,422 823,211 2,469,634 1,234,817 3,704,452 1,852,226 926,113 2,778,340 1,389,170 694,585 2,083,756 1,041,878 520,939 1,562,818 781,409 2,344,228 1,172,114 586,057 1,758,172 879,086 439,543 1,318,630 659,315 1,977,946 988,973 2,966,920 1,483,460 741,730 370,865 1,112,596 556,298 278,149 834,448 417,224 208,612 104,306 52,153 156,460 78,230 39,115 117,346 58,673 176,020 88,010 44,005 132,016 66,008 33,004 16,502 8,251 24,754 12,377 37,132 18,566 9,283 27,850 13,925

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