7,787,344

2⁴ × 181 × 2689

7,787,344 factors as 2^4 × 181 × 2689. Its 20 positive divisors give a proper-divisor sum of 7,389,636, so this integer is deficient. The Collatz stopping time is 67 steps.

Prime Factor Structure

Factorization String 2^4 × 181 × 2689

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 20

Divisor Sum (σ) 15,176,980

Proper Divisor Sum 7,389,636

Digit Sum / Digital Root 40 (Root: 4)

Adjacent Primes #7787333 ← → #7787347

Radix Representation

Decimal	7787344
Binary	11101101101001101010000 (23 bits)
Octal	0o35551520
Hexadecimal	0x76D350

Divisor Catalog (20)

Collatz Trajectory (67 steps to reach 1)

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

7,787,344 3,893,672 1,946,836 973,418 486,709 1,460,128 730,064 365,032 182,516 91,258 45,629 136,888 68,444 34,222 17,111 51,334 25,667 77,002 38,501 115,504 57,752 28,876 14,438 7,219 21,658 10,829 32,488 16,244 8,122 4,061 12,184 6,092 3,046 1,523 4,570 2,285 6,856 3,428 1,714 857 2,572 1,286 643 1,930 965 2,896 1,448 724 362 181 544 272 136 68 34 17 52 26 13 40

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