7,801,436

2² × 17 × 47 × 2441

Starting at 7,801,436, the Collatz iteration reaches 1 after 98 steps. The first transition is 3900718; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 17 × 47 × 2441

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 14,769,216

Proper Divisor Sum 6,967,780

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #7801427 ← → #7801459

Radix Representation

Decimal	7801436
Binary	11101110000101001011100 (23 bits)
Octal	0o35605134
Hexadecimal	0x770A5C

Divisor Catalog (24)

1 2 4 17 34 47 68 94 188 799 1,598 2,441 3,196 4,882 9,764 41,497 82,994 114,727 165,988 229,454 458,908 1,950,359 3,900,718 7,801,436

Collatz Trajectory (98 steps to reach 1)

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

7,801,436 3,900,718 1,950,359 5,851,078 2,925,539 8,776,618 4,388,309 13,164,928 6,582,464 3,291,232 1,645,616 822,808 411,404 205,702 102,851 308,554 154,277 462,832 231,416 115,708 57,854 28,927 86,782 43,391 130,174 65,087 195,262 97,631 292,894 146,447 439,342 219,671 659,014 329,507 988,522 494,261 1,482,784 741,392 370,696 185,348 92,674 46,337 139,012 69,506 34,753 104,260 52,130 26,065 78,196 39,098 19,549 58,648 29,324 14,662 7,331 21,994 10,997 32,992 16,496 8,248

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