7,636,291

13 × 41 × 14327

7,636,291 has digital root 7. The neighboring primes are 7636273 and 7636303; its proper-divisor sum differs from the starting integer by -6,847,718.

Prime Factor Structure

Factorization String 13 × 41 × 14327

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 8,424,864

Proper Divisor Sum 788,573

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #7636273 ← → #7636303

Radix Representation

Decimal	7636291
Binary	11101001000010101000011 (23 bits)
Octal	0o35102503
Hexadecimal	0x748543

Divisor Catalog (8)

1 13 41 533 14,327 186,251 587,407 7,636,291

Collatz Trajectory (129 steps to reach 1)

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

7,636,291 22,908,874 11,454,437 34,363,312 17,181,656 8,590,828 4,295,414 2,147,707 6,443,122 3,221,561 9,664,684 4,832,342 2,416,171 7,248,514 3,624,257 10,872,772 5,436,386 2,718,193 8,154,580 4,077,290 2,038,645 6,115,936 3,057,968 1,528,984 764,492 382,246 191,123 573,370 286,685 860,056 430,028 215,014 107,507 322,522 161,261 483,784 241,892 120,946 60,473 181,420 90,710 45,355 136,066 68,033 204,100 102,050 51,025 153,076 76,538 38,269 114,808 57,404 28,702 14,351 43,054 21,527 64,582 32,291 96,874 48,437

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