7,744,288

2⁵ × 242009

7,744,288 factors as 2^5 × 242009. Its 12 positive divisors give a proper-divisor sum of 7,502,342, so this integer is deficient. The Collatz stopping time is 217 steps.

Prime Factor Structure

Factorization String 2^5 × 242009

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 15,246,630

Proper Divisor Sum 7,502,342

Digit Sum / Digital Root 40 (Root: 4)

Adjacent Primes #7744277 ← → #7744301

Radix Representation

Decimal	7744288
Binary	11101100010101100100000 (23 bits)
Octal	0o35425440
Hexadecimal	0x762B20

Divisor Catalog (12)

1 2 4 8 16 32 242,009 484,018 968,036 1,936,072 3,872,144 7,744,288

Collatz Trajectory (217 steps to reach 1)

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

7,744,288 3,872,144 1,936,072 968,036 484,018 242,009 726,028 363,014 181,507 544,522 272,261 816,784 408,392 204,196 102,098 51,049 153,148 76,574 38,287 114,862 57,431 172,294 86,147 258,442 129,221 387,664 193,832 96,916 48,458 24,229 72,688 36,344 18,172 9,086 4,543 13,630 6,815 20,446 10,223 30,670 15,335 46,006 23,003 69,010 34,505 103,516 51,758 25,879 77,638 38,819 116,458 58,229 174,688 87,344 43,672 21,836 10,918 5,459 16,378 8,189

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