λ
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5,457,624

23 × 3 × 23 × 9887
Abundant Even Composite

5,457,624 factors as 2^3 × 3 × 23 × 9887. Its 32 positive divisors give a proper-divisor sum of 8,781,096, so this integer is abundant. The Collatz stopping time is 232 steps.

Prime Factor Structure

Factorization String 2^3 × 3 × 23 × 9887
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 14,238,720
Proper Divisor Sum 8,781,096
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #5457623 ← → #5457637

Radix Representation

Decimal 5457624
Binary 10100110100011011011000 (23 bits)
Octal 0o24643330
Hexadecimal 0x5346D8

Divisor Catalog (32)

1 2 3 4 6 8 12 23 24 46 69 92 138 184 276 552 9,887 19,774 29,661 39,548 59,322 79,096 118,644 227,401 237,288 454,802 682,203 909,604 1,364,406 1,819,208 2,728,812 5,457,624

Collatz Trajectory (232 steps to reach 1)

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

5,457,624 2,728,812 1,364,406 682,203 2,046,610 1,023,305 3,069,916 1,534,958 767,479 2,302,438 1,151,219 3,453,658 1,726,829 5,180,488 2,590,244 1,295,122 647,561 1,942,684 971,342 485,671 1,457,014 728,507 2,185,522 1,092,761 3,278,284 1,639,142 819,571 2,458,714 1,229,357 3,688,072 1,844,036 922,018 461,009 1,383,028 691,514 345,757 1,037,272 518,636 259,318 129,659 388,978 194,489 583,468 291,734 145,867 437,602 218,801 656,404 328,202 164,101 492,304 246,152 123,076 61,538 30,769 92,308 46,154 23,077 69,232 34,616

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