λ
Prime Ledger

1,722,918

2 × 3 × 31 × 59 × 157
Abundant Even Composite

1,722,918 has the prime decomposition 2 × 3 × 31 × 59 × 157. Its 5 distinct prime factors produce 32 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 31 × 59 × 157
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 3,640,320
Proper Divisor Sum 1,917,402
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #1722893 ← → #1722923

Radix Representation

Decimal 1722918
Binary 110100100101000100110 (21 bits)
Octal 0o6445046
Hexadecimal 0x1A4A26

Divisor Catalog (32)

1 2 3 6 31 59 62 93 118 157 177 186 314 354 471 942 1,829 3,658 4,867 5,487 9,263 9,734 10,974 14,601 18,526 27,789 29,202 55,578 287,153 574,306 861,459 1,722,918

Collatz Trajectory (158 steps to reach 1)

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

1,722,918 861,459 2,584,378 1,292,189 3,876,568 1,938,284 969,142 484,571 1,453,714 726,857 2,180,572 1,090,286 545,143 1,635,430 817,715 2,453,146 1,226,573 3,679,720 1,839,860 919,930 459,965 1,379,896 689,948 344,974 172,487 517,462 258,731 776,194 388,097 1,164,292 582,146 291,073 873,220 436,610 218,305 654,916 327,458 163,729 491,188 245,594 122,797 368,392 184,196 92,098 46,049 138,148 69,074 34,537 103,612 51,806 25,903 77,710 38,855 116,566 58,283 174,850 87,425 262,276 131,138 65,569

More profiles

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