λ
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624,112

24 × 19 × 2053
Abundant Even Composite

624,112 factors as 2^4 × 19 × 2053. Its 20 positive divisors give a proper-divisor sum of 649,368, so this integer is abundant. The Collatz stopping time is 128 steps.

Prime Factor Structure

Factorization String 2^4 × 19 × 2053
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 1,273,480
Proper Divisor Sum 649,368
Digit Sum / Digital Root 16 (Root: 7)
Adjacent Primes #624097 ← → #624119

Radix Representation

Decimal 624112
Binary 10011000010111110000 (20 bits)
Octal 0o2302760
Hexadecimal 0x985F0

Divisor Catalog (20)

1 2 4 8 16 19 38 76 152 304 2,053 4,106 8,212 16,424 32,848 39,007 78,014 156,028 312,056 624,112

Collatz Trajectory (128 steps to reach 1)

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

624,112 312,056 156,028 78,014 39,007 117,022 58,511 175,534 87,767 263,302 131,651 394,954 197,477 592,432 296,216 148,108 74,054 37,027 111,082 55,541 166,624 83,312 41,656 20,828 10,414 5,207 15,622 7,811 23,434 11,717 35,152 17,576 8,788 4,394 2,197 6,592 3,296 1,648 824 412 206 103 310 155 466 233 700 350 175 526 263 790 395 1,186 593 1,780 890 445 1,336 668

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