λ
Integer Codex

1,404,792

23 × 32 × 109 × 179
Abundant Even Composite

For 1,404,792, the 48 positive divisors have a total of 3,861,000. Removing 1,404,792 leaves 2,456,208, which gives the abundant classification.

Prime Factor Structure

Factorization String 2^3 × 3^2 × 109 × 179
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 3,861,000
Proper Divisor Sum 2,456,208
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #1404791 ← → #1404797

Radix Representation

Decimal 1404792
Binary 101010110111101111000 (21 bits)
Octal 0o5267570
Hexadecimal 0x156F78

Divisor Catalog (48)

1 2 3 4 6 8 9 12 18 24 36 72 109 179 218 327 358 436 537 654 716 872 981 1,074 1,308 1,432 1,611 1,962 2,148 2,616 3,222 3,924 4,296 6,444 7,848 12,888 19,511 39,022 58,533 78,044 117,066 156,088 175,599 234,132 351,198 468,264 702,396 1,404,792

Collatz Trajectory (274 steps to reach 1)

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

1,404,792 702,396 351,198 175,599 526,798 263,399 790,198 395,099 1,185,298 592,649 1,777,948 888,974 444,487 1,333,462 666,731 2,000,194 1,000,097 3,000,292 1,500,146 750,073 2,250,220 1,125,110 562,555 1,687,666 843,833 2,531,500 1,265,750 632,875 1,898,626 949,313 2,847,940 1,423,970 711,985 2,135,956 1,067,978 533,989 1,601,968 800,984 400,492 200,246 100,123 300,370 150,185 450,556 225,278 112,639 337,918 168,959 506,878 253,439 760,318 380,159 1,140,478 570,239 1,710,718 855,359 2,566,078 1,283,039 3,849,118 1,924,559

More profiles

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