5,156,349

3 × 11 × 156253

Starting at 5,156,349, the Collatz iteration reaches 1 after 126 steps. The first transition is 15469048; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 3 × 11 × 156253

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 7,500,192

Proper Divisor Sum 2,343,843

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #5156341 ← → #5156363

Radix Representation

Decimal	5156349
Binary	10011101010110111111101 (23 bits)
Octal	0o23526775
Hexadecimal	0x4EADFD

Divisor Catalog (8)

1 3 11 33 156,253 468,759 1,718,783 5,156,349

Collatz Trajectory (126 steps to reach 1)

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

5,156,349 15,469,048 7,734,524 3,867,262 1,933,631 5,800,894 2,900,447 8,701,342 4,350,671 13,052,014 6,526,007 19,578,022 9,789,011 29,367,034 14,683,517 44,050,552 22,025,276 11,012,638 5,506,319 16,518,958 8,259,479 24,778,438 12,389,219 37,167,658 18,583,829 55,751,488 27,875,744 13,937,872 6,968,936 3,484,468 1,742,234 871,117 2,613,352 1,306,676 653,338 326,669 980,008 490,004 245,002 122,501 367,504 183,752 91,876 45,938 22,969 68,908 34,454 17,227 51,682 25,841 77,524 38,762 19,381 58,144 29,072 14,536 7,268 3,634 1,817 5,452

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