λ
Prime Ledger

5,471,952

24 × 3 × 29 × 3931
Abundant Even Composite

5,471,952 has the prime decomposition 2^4 × 3 × 29 × 3931. Its 4 distinct prime factors produce 40 positive divisors.

Prime Factor Structure

Factorization String 2^4 × 3 × 29 × 3931
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 14,627,040
Proper Divisor Sum 9,155,088
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #5471933 ← → #5471969

Radix Representation

Decimal 5471952
Binary 10100110111111011010000 (23 bits)
Octal 0o24677320
Hexadecimal 0x537ED0

Divisor Catalog (40)

1 2 3 4 6 8 12 16 24 29 48 58 87 116 174 232 348 464 696 1,392 3,931 7,862 11,793 15,724 23,586 31,448 47,172 62,896 94,344 113,999 188,688 227,998 341,997 455,996 683,994 911,992 1,367,988 1,823,984 2,735,976 5,471,952

Collatz Trajectory (56 steps to reach 1)

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

5,471,952 2,735,976 1,367,988 683,994 341,997 1,025,992 512,996 256,498 128,249 384,748 192,374 96,187 288,562 144,281 432,844 216,422 108,211 324,634 162,317 486,952 243,476 121,738 60,869 182,608 91,304 45,652 22,826 11,413 34,240 17,120 8,560 4,280 2,140 1,070 535 1,606 803 2,410 1,205 3,616 1,808 904 452 226 113 340 170 85 256 128 64 32 16 8 4 2 1

More profiles

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