3,977,488

2⁴ × 248593

3,977,488 factors as 2^4 × 248593. Its 10 positive divisors give a proper-divisor sum of 3,728,926, so this integer is deficient. The Collatz stopping time is 185 steps.

Prime Factor Structure

Factorization String 2^4 × 248593

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 10

Divisor Sum (σ) 7,706,414

Proper Divisor Sum 3,728,926

Digit Sum / Digital Root 46 (Root: 1)

Adjacent Primes #3977483 ← → #3977489

Radix Representation

Decimal	3977488
Binary	1111001011000100010000 (22 bits)
Octal	0o17130420
Hexadecimal	0x3CB110

Divisor Catalog (10)

1 2 4 8 16 248,593 497,186 994,372 1,988,744 3,977,488

Collatz Trajectory (185 steps to reach 1)

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

3,977,488 1,988,744 994,372 497,186 248,593 745,780 372,890 186,445 559,336 279,668 139,834 69,917 209,752 104,876 52,438 26,219 78,658 39,329 117,988 58,994 29,497 88,492 44,246 22,123 66,370 33,185 99,556 49,778 24,889 74,668 37,334 18,667 56,002 28,001 84,004 42,002 21,001 63,004 31,502 15,751 47,254 23,627 70,882 35,441 106,324 53,162 26,581 79,744 39,872 19,936 9,968 4,984 2,492 1,246 623 1,870 935 2,806 1,403 4,210

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