λ
Integer Codex

5,331,402

2 × 32 × 241 × 1229
Abundant Even Composite

For 5,331,402, the 24 positive divisors have a total of 11,608,740. Removing 5,331,402 leaves 6,277,338, which gives the abundant classification.

Prime Factor Structure

Factorization String 2 × 3^2 × 241 × 1229
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 11,608,740
Proper Divisor Sum 6,277,338
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #5331401 ← → #5331407

Radix Representation

Decimal 5331402
Binary 10100010101100111001010 (23 bits)
Octal 0o24254712
Hexadecimal 0x5159CA

Divisor Catalog (24)

1 2 3 6 9 18 241 482 723 1,229 1,446 2,169 2,458 3,687 4,338 7,374 11,061 22,122 296,189 592,378 888,567 1,777,134 2,665,701 5,331,402

Collatz Trajectory (118 steps to reach 1)

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

5,331,402 2,665,701 7,997,104 3,998,552 1,999,276 999,638 499,819 1,499,458 749,729 2,249,188 1,124,594 562,297 1,686,892 843,446 421,723 1,265,170 632,585 1,897,756 948,878 474,439 1,423,318 711,659 2,134,978 1,067,489 3,202,468 1,601,234 800,617 2,401,852 1,200,926 600,463 1,801,390 900,695 2,702,086 1,351,043 4,053,130 2,026,565 6,079,696 3,039,848 1,519,924 759,962 379,981 1,139,944 569,972 284,986 142,493 427,480 213,740 106,870 53,435 160,306 80,153 240,460 120,230 60,115 180,346 90,173 270,520 135,260 67,630 33,815

More profiles

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