1,357,116

2² × 3 × 113093

Starting at 1,357,116, the Collatz iteration reaches 1 after 137 steps. The first transition is 678558; the starting value is even with 12 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3 × 113093

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 3,166,632

Proper Divisor Sum 1,809,516

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #1357091 ← → #1357129

Radix Representation

Decimal	1357116
Binary	101001011010100111100 (21 bits)
Octal	0o5132474
Hexadecimal	0x14B53C

Divisor Catalog (12)

1 2 3 4 6 12 113,093 226,186 339,279 452,372 678,558 1,357,116

Collatz Trajectory (137 steps to reach 1)

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

1,357,116 678,558 339,279 1,017,838 508,919 1,526,758 763,379 2,290,138 1,145,069 3,435,208 1,717,604 858,802 429,401 1,288,204 644,102 322,051 966,154 483,077 1,449,232 724,616 362,308 181,154 90,577 271,732 135,866 67,933 203,800 101,900 50,950 25,475 76,426 38,213 114,640 57,320 28,660 14,330 7,165 21,496 10,748 5,374 2,687 8,062 4,031 12,094 6,047 18,142 9,071 27,214 13,607 40,822 20,411 61,234 30,617 91,852 45,926 22,963 68,890 34,445 103,336 51,668

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