λ
Prime Ledger

1,008,642

2 × 3 × 23 × 7309
Abundant Even Composite

1,008,642 has the prime decomposition 2 × 3 × 23 × 7309. Its 4 distinct prime factors produce 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 23 × 7309
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 2,105,280
Proper Divisor Sum 1,096,638
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #1008617 ← → #1008659

Radix Representation

Decimal 1008642
Binary 11110110010000000010 (20 bits)
Octal 0o3662002
Hexadecimal 0xF6402

Divisor Catalog (16)

1 2 3 6 23 46 69 138 7,309 14,618 21,927 43,854 168,107 336,214 504,321 1,008,642

Collatz Trajectory (183 steps to reach 1)

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

1,008,642 504,321 1,512,964 756,482 378,241 1,134,724 567,362 283,681 851,044 425,522 212,761 638,284 319,142 159,571 478,714 239,357 718,072 359,036 179,518 89,759 269,278 134,639 403,918 201,959 605,878 302,939 908,818 454,409 1,363,228 681,614 340,807 1,022,422 511,211 1,533,634 766,817 2,300,452 1,150,226 575,113 1,725,340 862,670 431,335 1,294,006 647,003 1,941,010 970,505 2,911,516 1,455,758 727,879 2,183,638 1,091,819 3,275,458 1,637,729 4,913,188 2,456,594 1,228,297 3,684,892 1,842,446 921,223 2,763,670 1,381,835

More profiles

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