λ
Ratio Atlas

59,180,015

5 × 41 × 288683
Deficient Odd Composite

59,180,015 factors as 5 × 41 × 288683. Its 8 positive divisors give a proper-divisor sum of 13,568,353, so this integer is deficient. The Collatz stopping time is 145 steps.

Prime Factor Structure

Factorization String 5 × 41 × 288683
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 72,748,368
Proper Divisor Sum 13,568,353
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #59179987 ← → #59180047

Radix Representation

Decimal 59180015
Binary 11100001110000001111101111 (26 bits)
Octal 0o341601757
Hexadecimal 0x38703EF

Divisor Catalog (8)

Collatz Trajectory (145 steps to reach 1)

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

59,180,015 177,540,046 88,770,023 266,310,070 133,155,035 399,465,106 199,732,553 599,197,660 299,598,830 149,799,415 449,398,246 224,699,123 674,097,370 337,048,685 1,011,146,056 505,573,028 252,786,514 126,393,257 379,179,772 189,589,886 94,794,943 284,384,830 142,192,415 426,577,246 213,288,623 639,865,870 319,932,935 959,798,806 479,899,403 1,439,698,210 719,849,105 2,159,547,316 1,079,773,658 539,886,829 1,619,660,488 809,830,244 404,915,122 202,457,561 607,372,684 303,686,342 151,843,171 455,529,514 227,764,757 683,294,272 341,647,136 170,823,568 85,411,784 42,705,892 21,352,946 10,676,473 32,029,420 16,014,710 8,007,355 24,022,066 12,011,033 36,033,100 18,016,550 9,008,275 27,024,826 13,512,413

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