λ
Prime Ledger

5,488,092

22 × 32 × 157 × 971
Abundant Even Composite

5,488,092 has the prime decomposition 2^2 × 3^2 × 157 × 971. Its 4 distinct prime factors produce 36 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 157 × 971
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 13,975,416
Proper Divisor Sum 8,487,324
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #5488081 ← → #5488103

Radix Representation

Decimal 5488092
Binary 10100111011110111011100 (23 bits)
Octal 0o24736734
Hexadecimal 0x53BDDC

Divisor Catalog (36)

1 2 3 4 6 9 12 18 36 157 314 471 628 942 971 1,413 1,884 1,942 2,826 2,913 3,884 5,652 5,826 8,739 11,652 17,478 34,956 152,447 304,894 457,341 609,788 914,682 1,372,023 1,829,364 2,744,046 5,488,092

Collatz Trajectory (201 steps to reach 1)

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

5,488,092 2,744,046 1,372,023 4,116,070 2,058,035 6,174,106 3,087,053 9,261,160 4,630,580 2,315,290 1,157,645 3,472,936 1,736,468 868,234 434,117 1,302,352 651,176 325,588 162,794 81,397 244,192 122,096 61,048 30,524 15,262 7,631 22,894 11,447 34,342 17,171 51,514 25,757 77,272 38,636 19,318 9,659 28,978 14,489 43,468 21,734 10,867 32,602 16,301 48,904 24,452 12,226 6,113 18,340 9,170 4,585 13,756 6,878 3,439 10,318 5,159 15,478 7,739 23,218 11,609 34,828

More profiles

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