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Atlas › Integer Profiles › Node 59,629,288

59,629,288

23 × 892 × 941
Deficient Even Composite

59,629,288 factors as 2^3 × 89^2 × 941. Its 24 positive divisors give a proper-divisor sum of 53,566,142, so this integer is deficient. The Collatz stopping time is 88 steps.

Prime Factor Structure

Factorization String 2^3 × 89^2 × 941
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 113,195,430
Proper Divisor Sum 53,566,142
Digit Sum / Digital Root 49 (Root: 4)
Adjacent Primes #59629253 ← → #59629291

Radix Representation

Decimal 59629288
Binary 11100011011101111011101000 (26 bits)
Octal 0o343357350
Hexadecimal 0x38DDEE8

Divisor Catalog (24)

1 2 4 8 89 178 356 712 941 1,882 3,764 7,528 7,921 15,842 31,684 63,368 83,749 167,498 334,996 669,992 7,453,661 14,907,322 29,814,644 59,629,288

Collatz Trajectory (88 steps to reach 1)

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

59,629,288 29,814,644 14,907,322 7,453,661 22,360,984 11,180,492 5,590,246 2,795,123 8,385,370 4,192,685 12,578,056 6,289,028 3,144,514 1,572,257 4,716,772 2,358,386 1,179,193 3,537,580 1,768,790 884,395 2,653,186 1,326,593 3,979,780 1,989,890 994,945 2,984,836 1,492,418 746,209 2,238,628 1,119,314 559,657 1,678,972 839,486 419,743 1,259,230 629,615 1,888,846 944,423 2,833,270 1,416,635 4,249,906 2,124,953 6,374,860 3,187,430 1,593,715 4,781,146 2,390,573 7,171,720 3,585,860 1,792,930 896,465 2,689,396 1,344,698 672,349 2,017,048 1,008,524 504,262 252,131 756,394 378,197

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