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Atlas › Integer Profiles › Node 1,376,144

1,376,144

24 × 7 × 11 × 1117
Abundant Even Composite

1,376,144 factors as 2^4 × 7 × 11 × 1117. Its 40 positive divisors give a proper-divisor sum of 1,951,024, so this integer is abundant. The Collatz stopping time is 199 steps.

Prime Factor Structure

Factorization String 2^4 × 7 × 11 × 1117
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 3,327,168
Proper Divisor Sum 1,951,024
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #1376131 ← → #1376147

Radix Representation

Decimal 1376144
Binary 101001111111110010000 (21 bits)
Octal 0o5177620
Hexadecimal 0x14FF90

Divisor Catalog (40)

1 2 4 7 8 11 14 16 22 28 44 56 77 88 112 154 176 308 616 1,117 1,232 2,234 4,468 7,819 8,936 12,287 15,638 17,872 24,574 31,276 49,148 62,552 86,009 98,296 125,104 172,018 196,592 344,036 688,072 1,376,144

Collatz Trajectory (199 steps to reach 1)

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

1,376,144 688,072 344,036 172,018 86,009 258,028 129,014 64,507 193,522 96,761 290,284 145,142 72,571 217,714 108,857 326,572 163,286 81,643 244,930 122,465 367,396 183,698 91,849 275,548 137,774 68,887 206,662 103,331 309,994 154,997 464,992 232,496 116,248 58,124 29,062 14,531 43,594 21,797 65,392 32,696 16,348 8,174 4,087 12,262 6,131 18,394 9,197 27,592 13,796 6,898 3,449 10,348 5,174 2,587 7,762 3,881 11,644 5,822 2,911 8,734

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