7,501,232

2⁴ × 37 × 12671

7,501,232 factors as 2^4 × 37 × 12671. Its 20 positive divisors give a proper-divisor sum of 7,426,384, so this integer is deficient. The Collatz stopping time is 134 steps.

Prime Factor Structure

Factorization String 2^4 × 37 × 12671

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 20

Divisor Sum (σ) 14,927,616

Proper Divisor Sum 7,426,384

Digit Sum / Digital Root 20 (Root: 2)

Adjacent Primes #7501217 ← → #7501297

Radix Representation

Decimal	7501232
Binary	11100100111010110110000 (23 bits)
Octal	0o34472660
Hexadecimal	0x7275B0

Divisor Catalog (20)

Collatz Trajectory (134 steps to reach 1)

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

7,501,232 3,750,616 1,875,308 937,654 468,827 1,406,482 703,241 2,109,724 1,054,862 527,431 1,582,294 791,147 2,373,442 1,186,721 3,560,164 1,780,082 890,041 2,670,124 1,335,062 667,531 2,002,594 1,001,297 3,003,892 1,501,946 750,973 2,252,920 1,126,460 563,230 281,615 844,846 422,423 1,267,270 633,635 1,900,906 950,453 2,851,360 1,425,680 712,840 356,420 178,210 89,105 267,316 133,658 66,829 200,488 100,244 50,122 25,061 75,184 37,592 18,796 9,398 4,699 14,098 7,049 21,148 10,574 5,287 15,862 7,931

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