17,855,488

2¹⁰ × 7 × 47 × 53

17,855,488 factors as 2^10 × 7 × 47 × 53. Its 88 positive divisors give a proper-divisor sum of 24,591,104, so this integer is abundant. The Collatz stopping time is 182 steps.

Prime Factor Structure

Factorization String 2^10 × 7 × 47 × 53

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 88

Divisor Sum (σ) 42,446,592

Proper Divisor Sum 24,591,104

Digit Sum / Digital Root 46 (Root: 1)

Adjacent Primes #17855483 ← → #17855543

Radix Representation

Decimal	17855488
Binary	1000100000111010000000000 (25 bits)
Octal	0o104072000
Hexadecimal	0x1107400

Divisor Catalog (60 of 88)

1 2 4 7 8 14 16 28 32 47 53 56 64 94 106 112 128 188 212 224 256 329 371 376 424 448 512 658 742 752 848 896 1,024 1,316 1,484 1,504 1,696 1,792 2,491 2,632 2,968 3,008 3,392 3,584 4,982 5,264 5,936 6,016 6,784 7,168 9,964 10,528 11,872 12,032 13,568 17,437 19,928 21,056 23,744 24,064

Collatz Trajectory (182 steps to reach 1)

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

17,855,488 8,927,744 4,463,872 2,231,936 1,115,968 557,984 278,992 139,496 69,748 34,874 17,437 52,312 26,156 13,078 6,539 19,618 9,809 29,428 14,714 7,357 22,072 11,036 5,518 2,759 8,278 4,139 12,418 6,209 18,628 9,314 4,657 13,972 6,986 3,493 10,480 5,240 2,620 1,310 655 1,966 983 2,950 1,475 4,426 2,213 6,640 3,320 1,660 830 415 1,246 623 1,870 935 2,806 1,403 4,210 2,105 6,316 3,158

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