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Atlas › Integer Profiles › Node 1,248,224

1,248,224

25 × 19 × 2053
Abundant Even Composite

1,248,224 factors as 2^5 × 19 × 2053. Its 24 positive divisors give a proper-divisor sum of 1,339,816, so this integer is abundant. The Collatz stopping time is 129 steps.

Prime Factor Structure

Factorization String 2^5 × 19 × 2053
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 2,588,040
Proper Divisor Sum 1,339,816
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #1248217 ← → #1248229

Radix Representation

Decimal 1248224
Binary 100110000101111100000 (21 bits)
Octal 0o4605740
Hexadecimal 0x130BE0

Divisor Catalog (24)

1 2 4 8 16 19 32 38 76 152 304 608 2,053 4,106 8,212 16,424 32,848 39,007 65,696 78,014 156,028 312,056 624,112 1,248,224

Collatz Trajectory (129 steps to reach 1)

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

1,248,224 624,112 312,056 156,028 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

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