3,102,117

3 × 37 × 27947

Starting at 3,102,117, the Collatz iteration reaches 1 after 208 steps. The first transition is 9306352; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 3 × 37 × 27947

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 4,248,096

Proper Divisor Sum 1,145,979

Digit Sum / Digital Root 15 (Root: 6)

Adjacent Primes #3102107 ← → #3102131

Radix Representation

Decimal	3102117
Binary	1011110101010110100101 (22 bits)
Octal	0o13652645
Hexadecimal	0x2F55A5

Divisor Catalog (8)

1 3 37 111 27,947 83,841 1,034,039 3,102,117

Collatz Trajectory (208 steps to reach 1)

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

3,102,117 9,306,352 4,653,176 2,326,588 1,163,294 581,647 1,744,942 872,471 2,617,414 1,308,707 3,926,122 1,963,061 5,889,184 2,944,592 1,472,296 736,148 368,074 184,037 552,112 276,056 138,028 69,014 34,507 103,522 51,761 155,284 77,642 38,821 116,464 58,232 29,116 14,558 7,279 21,838 10,919 32,758 16,379 49,138 24,569 73,708 36,854 18,427 55,282 27,641 82,924 41,462 20,731 62,194 31,097 93,292 46,646 23,323 69,970 34,985 104,956 52,478 26,239 78,718 39,359 118,078

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