λ
Ratio Atlas

20,008,617

3 × 1031 × 6469
Deficient Odd Composite

20,008,617 factors as 3 × 1031 × 6469. Its 8 positive divisors give a proper-divisor sum of 6,699,543, so this integer is deficient. The Collatz stopping time is 138 steps.

Prime Factor Structure

Factorization String 3 × 1031 × 6469
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 26,708,160
Proper Divisor Sum 6,699,543
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #20008607 ← → #20008621

Radix Representation

Decimal 20008617
Binary 1001100010100111010101001 (25 bits)
Octal 0o114247251
Hexadecimal 0x1314EA9

Divisor Catalog (8)

Collatz Trajectory (138 steps to reach 1)

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

20,008,617 60,025,852 30,012,926 15,006,463 45,019,390 22,509,695 67,529,086 33,764,543 101,293,630 50,646,815 151,940,446 75,970,223 227,910,670 113,955,335 341,866,006 170,933,003 512,799,010 256,399,505 769,198,516 384,599,258 192,299,629 576,898,888 288,449,444 144,224,722 72,112,361 216,337,084 108,168,542 54,084,271 162,252,814 81,126,407 243,379,222 121,689,611 365,068,834 182,534,417 547,603,252 273,801,626 136,900,813 410,702,440 205,351,220 102,675,610 51,337,805 154,013,416 77,006,708 38,503,354 19,251,677 57,755,032 28,877,516 14,438,758 7,219,379 21,658,138 10,829,069 32,487,208 16,243,604 8,121,802 4,060,901 12,182,704 6,091,352 3,045,676 1,522,838 761,419

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