λ
Math Directory

4,677,453

33 × 11 × 15749
Deficient Odd Composite

4,677,453 factors as 3^3 × 11 × 15749. Its 16 positive divisors give a proper-divisor sum of 2,882,547, so this integer is deficient. The Collatz stopping time is 87 steps.

Prime Factor Structure

Factorization String 3^3 × 11 × 15749
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 7,560,000
Proper Divisor Sum 2,882,547
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #4677451 ← → #4677457

Radix Representation

Decimal 4677453
Binary 10001110101111101001101 (23 bits)
Octal 0o21657515
Hexadecimal 0x475F4D

Divisor Catalog (16)

1 3 9 11 27 33 99 297 15,749 47,247 141,741 173,239 425,223 519,717 1,559,151 4,677,453

Collatz Trajectory (87 steps to reach 1)

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

4,677,453 14,032,360 7,016,180 3,508,090 1,754,045 5,262,136 2,631,068 1,315,534 657,767 1,973,302 986,651 2,959,954 1,479,977 4,439,932 2,219,966 1,109,983 3,329,950 1,664,975 4,994,926 2,497,463 7,492,390 3,746,195 11,238,586 5,619,293 16,857,880 8,428,940 4,214,470 2,107,235 6,321,706 3,160,853 9,482,560 4,741,280 2,370,640 1,185,320 592,660 296,330 148,165 444,496 222,248 111,124 55,562 27,781 83,344 41,672 20,836 10,418 5,209 15,628 7,814 3,907 11,722 5,861 17,584 8,792 4,396 2,198 1,099 3,298 1,649 4,948

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