5,680,936

2³ × 31 × 22907

Starting at 5,680,936, the Collatz iteration reaches 1 after 152 steps. The first transition is 2840468; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 31 × 22907

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 10,995,840

Proper Divisor Sum 5,314,904

Digit Sum / Digital Root 37 (Root: 1)

Adjacent Primes #5680921 ← → #5680963

Radix Representation

Decimal	5680936
Binary	10101101010111100101000 (23 bits)
Octal	0o25527450
Hexadecimal	0x56AF28

Divisor Catalog (16)

1 2 4 8 31 62 124 248 22,907 45,814 91,628 183,256 710,117 1,420,234 2,840,468 5,680,936

Collatz Trajectory (152 steps to reach 1)

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

5,680,936 2,840,468 1,420,234 710,117 2,130,352 1,065,176 532,588 266,294 133,147 399,442 199,721 599,164 299,582 149,791 449,374 224,687 674,062 337,031 1,011,094 505,547 1,516,642 758,321 2,274,964 1,137,482 568,741 1,706,224 853,112 426,556 213,278 106,639 319,918 159,959 479,878 239,939 719,818 359,909 1,079,728 539,864 269,932 134,966 67,483 202,450 101,225 303,676 151,838 75,919 227,758 113,879 341,638 170,819 512,458 256,229 768,688 384,344 192,172 96,086 48,043 144,130 72,065 216,196

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