5,631,392

2⁵ × 13 × 13537

Starting at 5,631,392, the Collatz iteration reaches 1 after 126 steps. The first transition is 2815696; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2^5 × 13 × 13537

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 11,940,516

Proper Divisor Sum 6,309,124

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #5631383 ← → #5631401

Radix Representation

Decimal	5631392
Binary	10101011110110110100000 (23 bits)
Octal	0o25366640
Hexadecimal	0x55EDA0

Divisor Catalog (24)

1 2 4 8 13 16 26 32 52 104 208 416 13,537 27,074 54,148 108,296 175,981 216,592 351,962 433,184 703,924 1,407,848 2,815,696 5,631,392

Collatz Trajectory (126 steps to reach 1)

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

5,631,392 2,815,696 1,407,848 703,924 351,962 175,981 527,944 263,972 131,986 65,993 197,980 98,990 49,495 148,486 74,243 222,730 111,365 334,096 167,048 83,524 41,762 20,881 62,644 31,322 15,661 46,984 23,492 11,746 5,873 17,620 8,810 4,405 13,216 6,608 3,304 1,652 826 413 1,240 620 310 155 466 233 700 350 175 526 263 790 395 1,186 593 1,780 890 445 1,336 668 334 167

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