5,632,653

3 × 13 × 144427

Starting at 5,632,653, the Collatz iteration reaches 1 after 77 steps. The first transition is 16897960; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 3 × 13 × 144427

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 8,087,968

Proper Divisor Sum 2,455,315

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #5632651 ← → #5632687

Radix Representation

Decimal	5632653
Binary	10101011111001010001101 (23 bits)
Octal	0o25371215
Hexadecimal	0x55F28D

Divisor Catalog (8)

1 3 13 39 144,427 433,281 1,877,551 5,632,653

Collatz Trajectory (77 steps to reach 1)

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

5,632,653 16,897,960 8,448,980 4,224,490 2,112,245 6,336,736 3,168,368 1,584,184 792,092 396,046 198,023 594,070 297,035 891,106 445,553 1,336,660 668,330 334,165 1,002,496 501,248 250,624 125,312 62,656 31,328 15,664 7,832 3,916 1,958 979 2,938 1,469 4,408 2,204 1,102 551 1,654 827 2,482 1,241 3,724 1,862 931 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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