λ
Prime Ledger

6,375,125

53 × 51001
Deficient Odd Composite

6,375,125 has the prime decomposition 5^3 × 51001. Its 2 distinct prime factors produce 8 positive divisors.

Prime Factor Structure

Factorization String 5^3 × 51001
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 7,956,312
Proper Divisor Sum 1,581,187
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #6375107 ← → #6375133

Radix Representation

Decimal 6375125
Binary 11000010100011011010101 (23 bits)
Octal 0o30243325
Hexadecimal 0x6146D5

Divisor Catalog (8)

1 5 25 125 51,001 255,005 1,275,025 6,375,125

Collatz Trajectory (240 steps to reach 1)

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

6,375,125 19,125,376 9,562,688 4,781,344 2,390,672 1,195,336 597,668 298,834 149,417 448,252 224,126 112,063 336,190 168,095 504,286 252,143 756,430 378,215 1,134,646 567,323 1,701,970 850,985 2,552,956 1,276,478 638,239 1,914,718 957,359 2,872,078 1,436,039 4,308,118 2,154,059 6,462,178 3,231,089 9,693,268 4,846,634 2,423,317 7,269,952 3,634,976 1,817,488 908,744 454,372 227,186 113,593 340,780 170,390 85,195 255,586 127,793 383,380 191,690 95,845 287,536 143,768 71,884 35,942 17,971 53,914 26,957 80,872 40,436

More profiles

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