λ
Prime Ledger

8,672,725

52 × 23 × 15083
Deficient Odd Composite

8,672,725 has the prime decomposition 5^2 × 23 × 15083. Its 3 distinct prime factors produce 12 positive divisors.

Prime Factor Structure

Factorization String 5^2 × 23 × 15083
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 11,222,496
Proper Divisor Sum 2,549,771
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #8672723 ← → #8672731

Radix Representation

Decimal 8672725
Binary 100001000101010111010101 (24 bits)
Octal 0o41052725
Hexadecimal 0x8455D5

Divisor Catalog (12)

1 5 23 25 115 575 15,083 75,415 346,909 377,075 1,734,545 8,672,725

Collatz Trajectory (212 steps to reach 1)

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

8,672,725 26,018,176 13,009,088 6,504,544 3,252,272 1,626,136 813,068 406,534 203,267 609,802 304,901 914,704 457,352 228,676 114,338 57,169 171,508 85,754 42,877 128,632 64,316 32,158 16,079 48,238 24,119 72,358 36,179 108,538 54,269 162,808 81,404 40,702 20,351 61,054 30,527 91,582 45,791 137,374 68,687 206,062 103,031 309,094 154,547 463,642 231,821 695,464 347,732 173,866 86,933 260,800 130,400 65,200 32,600 16,300 8,150 4,075 12,226 6,113 18,340 9,170

More profiles

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