5,640,764

2² × 677 × 2083

Starting at 5,640,764, the Collatz iteration reaches 1 after 77 steps. The first transition is 2820382; the starting value is even with 12 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 677 × 2083

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 9,890,664

Proper Divisor Sum 4,249,900

Digit Sum / Digital Root 32 (Root: 5)

Adjacent Primes #5640743 ← → #5640769

Radix Representation

Decimal	5640764
Binary	10101100001001000111100 (23 bits)
Octal	0o25411074
Hexadecimal	0x56123C

Divisor Catalog (12)

1 2 4 677 1,354 2,083 2,708 4,166 8,332 1,410,191 2,820,382 5,640,764

Collatz Trajectory (77 steps to reach 1)

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

5,640,764 2,820,382 1,410,191 4,230,574 2,115,287 6,345,862 3,172,931 9,518,794 4,759,397 14,278,192 7,139,096 3,569,548 1,784,774 892,387 2,677,162 1,338,581 4,015,744 2,007,872 1,003,936 501,968 250,984 125,492 62,746 31,373 94,120 47,060 23,530 11,765 35,296 17,648 8,824 4,412 2,206 1,103 3,310 1,655 4,966 2,483 7,450 3,725 11,176 5,588 2,794 1,397 4,192 2,096 1,048 524 262 131 394 197 592 296 148 74 37 112 56 28

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