3,104,108

2² × 7 × 59 × 1879

Starting at 3,104,108, the Collatz iteration reaches 1 after 89 steps. The first transition is 1552054; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 7 × 59 × 1879

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 6,316,800

Proper Divisor Sum 3,212,692

Digit Sum / Digital Root 17 (Root: 8)

Adjacent Primes #3104099 ← → #3104113

Radix Representation

Decimal	3104108
Binary	1011110101110101101100 (22 bits)
Octal	0o13656554
Hexadecimal	0x2F5D6C

Divisor Catalog (24)

1 2 4 7 14 28 59 118 236 413 826 1,652 1,879 3,758 7,516 13,153 26,306 52,612 110,861 221,722 443,444 776,027 1,552,054 3,104,108

Collatz Trajectory (89 steps to reach 1)

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

3,104,108 1,552,054 776,027 2,328,082 1,164,041 3,492,124 1,746,062 873,031 2,619,094 1,309,547 3,928,642 1,964,321 5,892,964 2,946,482 1,473,241 4,419,724 2,209,862 1,104,931 3,314,794 1,657,397 4,972,192 2,486,096 1,243,048 621,524 310,762 155,381 466,144 233,072 116,536 58,268 29,134 14,567 43,702 21,851 65,554 32,777 98,332 49,166 24,583 73,750 36,875 110,626 55,313 165,940 82,970 41,485 124,456 62,228 31,114 15,557 46,672 23,336 11,668 5,834 2,917 8,752 4,376 2,188 1,094 547

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