7,660,784

2⁴ × 521 × 919

7,660,784 factors as 2^4 × 521 × 919. Its 20 positive divisors give a proper-divisor sum of 7,226,656, so this integer is deficient. The Collatz stopping time is 217 steps.

Prime Factor Structure

Factorization String 2^4 × 521 × 919

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 20

Divisor Sum (σ) 14,887,440

Proper Divisor Sum 7,226,656

Digit Sum / Digital Root 38 (Root: 2)

Adjacent Primes #7660753 ← → #7660787

Radix Representation

Decimal	7660784
Binary	11101001110010011110000 (23 bits)
Octal	0o35162360
Hexadecimal	0x74E4F0

Divisor Catalog (20)

Collatz Trajectory (217 steps to reach 1)

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

7,660,784 3,830,392 1,915,196 957,598 478,799 1,436,398 718,199 2,154,598 1,077,299 3,231,898 1,615,949 4,847,848 2,423,924 1,211,962 605,981 1,817,944 908,972 454,486 227,243 681,730 340,865 1,022,596 511,298 255,649 766,948 383,474 191,737 575,212 287,606 143,803 431,410 215,705 647,116 323,558 161,779 485,338 242,669 728,008 364,004 182,002 91,001 273,004 136,502 68,251 204,754 102,377 307,132 153,566 76,783 230,350 115,175 345,526 172,763 518,290 259,145 777,436 388,718 194,359 583,078 291,539

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