5,613,376

2⁶ × 139 × 631

Starting at 5,613,376, the Collatz iteration reaches 1 after 131 steps. The first transition is 2806688; the starting value is even with 28 positive divisors.

Prime Factor Structure

Factorization String 2^6 × 139 × 631

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 28

Divisor Sum (σ) 11,236,960

Proper Divisor Sum 5,623,584

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #5613347 ← → #5613407

Radix Representation

Decimal	5613376
Binary	10101011010011101000000 (23 bits)
Octal	0o25323500
Hexadecimal	0x55A740

Divisor Catalog (28)

1 2 4 8 16 32 64 139 278 556 631 1,112 1,262 2,224 2,524 4,448 5,048 8,896 10,096 20,192 40,384 87,709 175,418 350,836 701,672 1,403,344 2,806,688 5,613,376

Collatz Trajectory (131 steps to reach 1)

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

5,613,376 2,806,688 1,403,344 701,672 350,836 175,418 87,709 263,128 131,564 65,782 32,891 98,674 49,337 148,012 74,006 37,003 111,010 55,505 166,516 83,258 41,629 124,888 62,444 31,222 15,611 46,834 23,417 70,252 35,126 17,563 52,690 26,345 79,036 39,518 19,759 59,278 29,639 88,918 44,459 133,378 66,689 200,068 100,034 50,017 150,052 75,026 37,513 112,540 56,270 28,135 84,406 42,203 126,610 63,305 189,916 94,958 47,479 142,438 71,219 213,658

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