λ
Prime Ledger

9,722,523

3 × 3240841
Deficient Odd Composite

9,722,523 has the prime decomposition 3 × 3240841. Its 2 distinct prime factors produce 4 positive divisors.

Prime Factor Structure

Factorization String 3 × 3240841
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 12,963,368
Proper Divisor Sum 3,240,845
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #9722513 ← → #9722549

Radix Representation

Decimal 9722523
Binary 100101000101101010011011 (24 bits)
Octal 0o45055233
Hexadecimal 0x945A9B

Divisor Catalog (4)

1 3 3,240,841 9,722,523

Collatz Trajectory (132 steps to reach 1)

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

9,722,523 29,167,570 14,583,785 43,751,356 21,875,678 10,937,839 32,813,518 16,406,759 49,220,278 24,610,139 73,830,418 36,915,209 110,745,628 55,372,814 27,686,407 83,059,222 41,529,611 124,588,834 62,294,417 186,883,252 93,441,626 46,720,813 140,162,440 70,081,220 35,040,610 17,520,305 52,560,916 26,280,458 13,140,229 39,420,688 19,710,344 9,855,172 4,927,586 2,463,793 7,391,380 3,695,690 1,847,845 5,543,536 2,771,768 1,385,884 692,942 346,471 1,039,414 519,707 1,559,122 779,561 2,338,684 1,169,342 584,671 1,754,014 877,007 2,631,022 1,315,511 3,946,534 1,973,267 5,919,802 2,959,901 8,879,704 4,439,852 2,219,926

More profiles

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