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5,456,565

37 × 5 × 499
Deficient Odd Composite

5,456,565 factors as 3^7 × 5 × 499. Its 32 positive divisors give a proper-divisor sum of 4,383,435, so this integer is deficient. The Collatz stopping time is 95 steps.

Prime Factor Structure

Factorization String 3^7 × 5 × 499
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 9,840,000
Proper Divisor Sum 4,383,435
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #5456557 ← → #5456569

Radix Representation

Decimal 5456565
Binary 10100110100001010110101 (23 bits)
Octal 0o24641265
Hexadecimal 0x5342B5

Divisor Catalog (32)

1 3 5 9 15 27 45 81 135 243 405 499 729 1,215 1,497 2,187 2,495 3,645 4,491 7,485 10,935 13,473 22,455 40,419 67,365 121,257 202,095 363,771 606,285 1,091,313 1,818,855 5,456,565

Collatz Trajectory (95 steps to reach 1)

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

5,456,565 16,369,696 8,184,848 4,092,424 2,046,212 1,023,106 511,553 1,534,660 767,330 383,665 1,150,996 575,498 287,749 863,248 431,624 215,812 107,906 53,953 161,860 80,930 40,465 121,396 60,698 30,349 91,048 45,524 22,762 11,381 34,144 17,072 8,536 4,268 2,134 1,067 3,202 1,601 4,804 2,402 1,201 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

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