7,654,432

2⁵ × 239201

7,654,432 factors as 2^5 × 239201. Its 12 positive divisors give a proper-divisor sum of 7,415,294, so this integer is deficient. The Collatz stopping time is 124 steps.

Prime Factor Structure

Factorization String 2^5 × 239201

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 15,069,726

Proper Divisor Sum 7,415,294

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #7654429 ← → #7654441

Radix Representation

Decimal	7654432
Binary	11101001100110000100000 (23 bits)
Octal	0o35146040
Hexadecimal	0x74CC20

Divisor Catalog (12)

1 2 4 8 16 32 239,201 478,402 956,804 1,913,608 3,827,216 7,654,432

Collatz Trajectory (124 steps to reach 1)

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

7,654,432 3,827,216 1,913,608 956,804 478,402 239,201 717,604 358,802 179,401 538,204 269,102 134,551 403,654 201,827 605,482 302,741 908,224 454,112 227,056 113,528 56,764 28,382 14,191 42,574 21,287 63,862 31,931 95,794 47,897 143,692 71,846 35,923 107,770 53,885 161,656 80,828 40,414 20,207 60,622 30,311 90,934 45,467 136,402 68,201 204,604 102,302 51,151 153,454 76,727 230,182 115,091 345,274 172,637 517,912 258,956 129,478 64,739 194,218 97,109 291,328

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