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Atlas › Integer Profiles › Node 20,008,215

20,008,215

34 × 5 × 127 × 389
Deficient Odd Composite

20,008,215 factors as 3^4 × 5 × 127 × 389. Its 40 positive divisors give a proper-divisor sum of 16,233,705, so this integer is deficient. The Collatz stopping time is 177 steps.

Prime Factor Structure

Factorization String 3^4 × 5 × 127 × 389
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 36,241,920
Proper Divisor Sum 16,233,705
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #20008211 ← → #20008217

Radix Representation

Decimal 20008215
Binary 1001100010100110100010111 (25 bits)
Octal 0o114246427
Hexadecimal 0x1314D17

Divisor Catalog (40)

1 3 5 9 15 27 45 81 127 135 381 389 405 635 1,143 1,167 1,905 1,945 3,429 3,501 5,715 5,835 10,287 10,503 17,145 17,505 31,509 49,403 51,435 52,515 148,209 157,545 247,015 444,627 741,045 1,333,881 2,223,135 4,001,643 6,669,405 20,008,215

Collatz Trajectory (177 steps to reach 1)

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

20,008,215 60,024,646 30,012,323 90,036,970 45,018,485 135,055,456 67,527,728 33,763,864 16,881,932 8,440,966 4,220,483 12,661,450 6,330,725 18,992,176 9,496,088 4,748,044 2,374,022 1,187,011 3,561,034 1,780,517 5,341,552 2,670,776 1,335,388 667,694 333,847 1,001,542 500,771 1,502,314 751,157 2,253,472 1,126,736 563,368 281,684 140,842 70,421 211,264 105,632 52,816 26,408 13,204 6,602 3,301 9,904 4,952 2,476 1,238 619 1,858 929 2,788 1,394 697 2,092 1,046 523 1,570 785 2,356 1,178 589

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