40,491

3² × 11 × 409

40,491 has digital root 9. The neighboring primes are 40487 and 40493; its proper-divisor sum differs from the starting integer by -17,022.

Prime Factor Structure

Factorization String 3^2 × 11 × 409

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 63,960

Proper Divisor Sum 23,469

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #40487 ← → #40493

Radix Representation

Decimal	40491
Binary	1001111000101011 (16 bits)
Octal	0o117053
Hexadecimal	0x9E2B

Divisor Catalog (12)

1 3 9 11 33 99 409 1,227 3,681 4,499 13,497 40,491

Collatz Trajectory (75 steps to reach 1)

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

40,491 121,474 60,737 182,212 91,106 45,553 136,660 68,330 34,165 102,496 51,248 25,624 12,812 6,406 3,203 9,610 4,805 14,416 7,208 3,604 1,802 901 2,704 1,352 676 338 169 508 254 127 382 191 574 287 862 431 1,294 647 1,942 971 2,914 1,457 4,372 2,186 1,093 3,280 1,640 820 410 205 616 308 154 77 232 116 58 29 88 44

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