9,745,852

2² × 53 × 45971

9,745,852 factors as 2^2 × 53 × 45971. Its 12 positive divisors give a proper-divisor sum of 7,631,564, so this integer is deficient. The Collatz stopping time is 150 steps.

Prime Factor Structure

Factorization String 2^2 × 53 × 45971

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 17,377,416

Proper Divisor Sum 7,631,564

Digit Sum / Digital Root 40 (Root: 4)

Adjacent Primes #9745849 ← → #9745861

Radix Representation

Decimal	9745852
Binary	100101001011010110111100 (24 bits)
Octal	0o45132674
Hexadecimal	0x94B5BC

Divisor Catalog (12)

1 2 4 53 106 212 45,971 91,942 183,884 2,436,463 4,872,926 9,745,852

Collatz Trajectory (150 steps to reach 1)

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

9,745,852 4,872,926 2,436,463 7,309,390 3,654,695 10,964,086 5,482,043 16,446,130 8,223,065 24,669,196 12,334,598 6,167,299 18,501,898 9,250,949 27,752,848 13,876,424 6,938,212 3,469,106 1,734,553 5,203,660 2,601,830 1,300,915 3,902,746 1,951,373 5,854,120 2,927,060 1,463,530 731,765 2,195,296 1,097,648 548,824 274,412 137,206 68,603 205,810 102,905 308,716 154,358 77,179 231,538 115,769 347,308 173,654 86,827 260,482 130,241 390,724 195,362 97,681 293,044 146,522 73,261 219,784 109,892 54,946 27,473 82,420 41,210 20,605 61,816

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