λ
Prime Ledger

5,991,432

23 × 3 × 31 × 8053
Abundant Even Composite

5,991,432 has the prime decomposition 2^3 × 3 × 31 × 8053. Its 4 distinct prime factors produce 32 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 3 × 31 × 8053
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 15,463,680
Proper Divisor Sum 9,472,248
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #5991413 ← → #5991443

Radix Representation

Decimal 5991432
Binary 10110110110110000001000 (23 bits)
Octal 0o26666010
Hexadecimal 0x5B6C08

Divisor Catalog (32)

1 2 3 4 6 8 12 24 31 62 93 124 186 248 372 744 8,053 16,106 24,159 32,212 48,318 64,424 96,636 193,272 249,643 499,286 748,929 998,572 1,497,858 1,997,144 2,995,716 5,991,432

Collatz Trajectory (90 steps to reach 1)

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

5,991,432 2,995,716 1,497,858 748,929 2,246,788 1,123,394 561,697 1,685,092 842,546 421,273 1,263,820 631,910 315,955 947,866 473,933 1,421,800 710,900 355,450 177,725 533,176 266,588 133,294 66,647 199,942 99,971 299,914 149,957 449,872 224,936 112,468 56,234 28,117 84,352 42,176 21,088 10,544 5,272 2,636 1,318 659 1,978 989 2,968 1,484 742 371 1,114 557 1,672 836 418 209 628 314 157 472 236 118 59 178

More profiles

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