λ
Prime Ledger

5,032,998

2 × 32 × 23 × 12157
Abundant Even Composite

5,032,998 has the prime decomposition 2 × 3^2 × 23 × 12157. Its 4 distinct prime factors produce 24 positive divisors.

Prime Factor Structure

Factorization String 2 × 3^2 × 23 × 12157
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 11,379,888
Proper Divisor Sum 6,346,890
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #5032997 ← → #5033023

Radix Representation

Decimal 5032998
Binary 10011001100110000100110 (23 bits)
Octal 0o23146046
Hexadecimal 0x4CCC26

Divisor Catalog (24)

1 2 3 6 9 18 23 46 69 138 207 414 12,157 24,314 36,471 72,942 109,413 218,826 279,611 559,222 838,833 1,677,666 2,516,499 5,032,998

Collatz Trajectory (144 steps to reach 1)

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

5,032,998 2,516,499 7,549,498 3,774,749 11,324,248 5,662,124 2,831,062 1,415,531 4,246,594 2,123,297 6,369,892 3,184,946 1,592,473 4,777,420 2,388,710 1,194,355 3,583,066 1,791,533 5,374,600 2,687,300 1,343,650 671,825 2,015,476 1,007,738 503,869 1,511,608 755,804 377,902 188,951 566,854 283,427 850,282 425,141 1,275,424 637,712 318,856 159,428 79,714 39,857 119,572 59,786 29,893 89,680 44,840 22,420 11,210 5,605 16,816 8,408 4,204 2,102 1,051 3,154 1,577 4,732 2,366 1,183 3,550 1,775 5,326

More profiles

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