λ
Integer Codex

1,357,788

22 × 3 × 113149
Abundant Even Composite

For 1,357,788, the 12 positive divisors have a total of 3,168,200. Removing 1,357,788 leaves 1,810,412, which gives the abundant classification.

Prime Factor Structure

Factorization String 2^2 × 3 × 113149
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 3,168,200
Proper Divisor Sum 1,810,412
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #1357787 ← → #1357801

Radix Representation

Decimal 1357788
Binary 101001011011111011100 (21 bits)
Octal 0o5133734
Hexadecimal 0x14B7DC

Divisor Catalog (12)

1 2 3 4 6 12 113,149 226,298 339,447 452,596 678,894 1,357,788

Collatz Trajectory (137 steps to reach 1)

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

1,357,788 678,894 339,447 1,018,342 509,171 1,527,514 763,757 2,291,272 1,145,636 572,818 286,409 859,228 429,614 214,807 644,422 322,211 966,634 483,317 1,449,952 724,976 362,488 181,244 90,622 45,311 135,934 67,967 203,902 101,951 305,854 152,927 458,782 229,391 688,174 344,087 1,032,262 516,131 1,548,394 774,197 2,322,592 1,161,296 580,648 290,324 145,162 72,581 217,744 108,872 54,436 27,218 13,609 40,828 20,414 10,207 30,622 15,311 45,934 22,967 68,902 34,451 103,354 51,677

More profiles

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