λ
Prime Ledger

9,613,721

13 × 17 × 41 × 1061
Deficient Odd Composite

9,613,721 has the prime decomposition 13 × 17 × 41 × 1061. Its 4 distinct prime factors produce 16 positive divisors.

Prime Factor Structure

Factorization String 13 × 17 × 41 × 1061
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 11,240,208
Proper Divisor Sum 1,626,487
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #9613693 ← → #9613727

Radix Representation

Decimal 9613721
Binary 100100101011000110011001 (24 bits)
Octal 0o44530631
Hexadecimal 0x92B199

Divisor Catalog (16)

1 13 17 41 221 533 697 1,061 9,061 13,793 18,037 43,501 234,481 565,513 739,517 9,613,721

Collatz Trajectory (101 steps to reach 1)

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

9,613,721 28,841,164 14,420,582 7,210,291 21,630,874 10,815,437 32,446,312 16,223,156 8,111,578 4,055,789 12,167,368 6,083,684 3,041,842 1,520,921 4,562,764 2,281,382 1,140,691 3,422,074 1,711,037 5,133,112 2,566,556 1,283,278 641,639 1,924,918 962,459 2,887,378 1,443,689 4,331,068 2,165,534 1,082,767 3,248,302 1,624,151 4,872,454 2,436,227 7,308,682 3,654,341 10,963,024 5,481,512 2,740,756 1,370,378 685,189 2,055,568 1,027,784 513,892 256,946 128,473 385,420 192,710 96,355 289,066 144,533 433,600 216,800 108,400 54,200 27,100 13,550 6,775 20,326 10,163

More profiles

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