λ
Prime Ledger

9,724,607

232 × 31 × 593
Deficient Odd Composite

9,724,607 has the prime decomposition 23^2 × 31 × 593. Its 3 distinct prime factors produce 12 positive divisors.

Prime Factor Structure

Factorization String 23^2 × 31 × 593
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 10,511,424
Proper Divisor Sum 786,817
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #9724601 ← → #9724633

Radix Representation

Decimal 9724607
Binary 100101000110001010111111 (24 bits)
Octal 0o45061277
Hexadecimal 0x9462BF

Divisor Catalog (12)

1 23 31 529 593 713 13,639 16,399 18,383 313,697 422,809 9,724,607

Collatz Trajectory (225 steps to reach 1)

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

9,724,607 29,173,822 14,586,911 43,760,734 21,880,367 65,641,102 32,820,551 98,461,654 49,230,827 147,692,482 73,846,241 221,538,724 110,769,362 55,384,681 166,154,044 83,077,022 41,538,511 124,615,534 62,307,767 186,923,302 93,461,651 280,384,954 140,192,477 420,577,432 210,288,716 105,144,358 52,572,179 157,716,538 78,858,269 236,574,808 118,287,404 59,143,702 29,571,851 88,715,554 44,357,777 133,073,332 66,536,666 33,268,333 99,805,000 49,902,500 24,951,250 12,475,625 37,426,876 18,713,438 9,356,719 28,070,158 14,035,079 42,105,238 21,052,619 63,157,858 31,578,929 94,736,788 47,368,394 23,684,197 71,052,592 35,526,296 17,763,148 8,881,574 4,440,787 13,322,362

More profiles

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