λ
Integer Codex

1,392,132

22 × 3 × 7 × 16573
Abundant Even Composite

For 1,392,132, the 24 positive divisors have a total of 3,712,576. Removing 1,392,132 leaves 2,320,444, which gives the abundant classification.

Prime Factor Structure

Factorization String 2^2 × 3 × 7 × 16573
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 3,712,576
Proper Divisor Sum 2,320,444
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #1392103 ← → #1392133

Radix Representation

Decimal 1392132
Binary 101010011111000000100 (21 bits)
Octal 0o5237004
Hexadecimal 0x153E04

Divisor Catalog (24)

1 2 3 4 6 7 12 14 21 28 42 84 16,573 33,146 49,719 66,292 99,438 116,011 198,876 232,022 348,033 464,044 696,066 1,392,132

Collatz Trajectory (181 steps to reach 1)

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

1,392,132 696,066 348,033 1,044,100 522,050 261,025 783,076 391,538 195,769 587,308 293,654 146,827 440,482 220,241 660,724 330,362 165,181 495,544 247,772 123,886 61,943 185,830 92,915 278,746 139,373 418,120 209,060 104,530 52,265 156,796 78,398 39,199 117,598 58,799 176,398 88,199 264,598 132,299 396,898 198,449 595,348 297,674 148,837 446,512 223,256 111,628 55,814 27,907 83,722 41,861 125,584 62,792 31,396 15,698 7,849 23,548 11,774 5,887 17,662 8,831

More profiles

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