λ
Ratio Atlas

1,041,624

23 × 32 × 17 × 23 × 37
Abundant Even Composite

1,041,624 factors as 2^3 × 3^2 × 17 × 23 × 37. Its 96 positive divisors give a proper-divisor sum of 2,159,496, so this integer is abundant. The Collatz stopping time is 103 steps.

Prime Factor Structure

Factorization String 2^3 × 3^2 × 17 × 23 × 37
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 96
Divisor Sum (σ) 3,201,120
Proper Divisor Sum 2,159,496
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #1041619 ← → #1041643

Radix Representation

Decimal 1041624
Binary 11111110010011011000 (20 bits)
Octal 0o3762330
Hexadecimal 0xFE4D8

Divisor Catalog (60 of 96)

1 2 3 4 6 8 9 12 17 18 23 24 34 36 37 46 51 68 69 72 74 92 102 111 136 138 148 153 184 204 207 222 276 296 306 333 391 408 414 444 552 612 629 666 782 828 851 888 1,173 1,224 1,258 1,332 1,564 1,656 1,702 1,887 2,346 2,516 2,553 2,664

Collatz Trajectory (103 steps to reach 1)

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

1,041,624 520,812 260,406 130,203 390,610 195,305 585,916 292,958 146,479 439,438 219,719 659,158 329,579 988,738 494,369 1,483,108 741,554 370,777 1,112,332 556,166 278,083 834,250 417,125 1,251,376 625,688 312,844 156,422 78,211 234,634 117,317 351,952 175,976 87,988 43,994 21,997 65,992 32,996 16,498 8,249 24,748 12,374 6,187 18,562 9,281 27,844 13,922 6,961 20,884 10,442 5,221 15,664 7,832 3,916 1,958 979 2,938 1,469 4,408 2,204 1,102

More profiles

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