1,291,108

2² × 7 × 13 × 3547

Starting at 1,291,108, the Collatz iteration reaches 1 after 98 steps. The first transition is 645554; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 7 × 13 × 3547

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 2,781,632

Proper Divisor Sum 1,490,524

Digit Sum / Digital Root 22 (Root: 4)

Adjacent Primes #1291079 ← → #1291111

Radix Representation

Decimal	1291108
Binary	100111011001101100100 (21 bits)
Octal	0o4731544
Hexadecimal	0x13B364

Divisor Catalog (24)

1 2 4 7 13 14 26 28 52 91 182 364 3,547 7,094 14,188 24,829 46,111 49,658 92,222 99,316 184,444 322,777 645,554 1,291,108

Collatz Trajectory (98 steps to reach 1)

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

1,291,108 645,554 322,777 968,332 484,166 242,083 726,250 363,125 1,089,376 544,688 272,344 136,172 68,086 34,043 102,130 51,065 153,196 76,598 38,299 114,898 57,449 172,348 86,174 43,087 129,262 64,631 193,894 96,947 290,842 145,421 436,264 218,132 109,066 54,533 163,600 81,800 40,900 20,450 10,225 30,676 15,338 7,669 23,008 11,504 5,752 2,876 1,438 719 2,158 1,079 3,238 1,619 4,858 2,429 7,288 3,644 1,822 911 2,734 1,367

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