7,779,696

2⁴ × 3 × 61 × 2657

7,779,696 factors as 2^4 × 3 × 61 × 2657. Its 40 positive divisors give a proper-divisor sum of 12,655,008, so this integer is abundant. The Collatz stopping time is 186 steps.

Prime Factor Structure

Factorization String 2^4 × 3 × 61 × 2657

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 40

Divisor Sum (σ) 20,434,704

Proper Divisor Sum 12,655,008

Digit Sum / Digital Root 51 (Root: 6)

Adjacent Primes #7779679 ← → #7779701

Radix Representation

Decimal	7779696
Binary	11101101011010101110000 (23 bits)
Octal	0o35532560
Hexadecimal	0x76B570

Divisor Catalog (40)

1 2 3 4 6 8 12 16 24 48 61 122 183 244 366 488 732 976 1,464 2,657 2,928 5,314 7,971 10,628 15,942 21,256 31,884 42,512 63,768 127,536 162,077 324,154 486,231 648,308 972,462 1,296,616 1,944,924 2,593,232 3,889,848 7,779,696

Collatz Trajectory (186 steps to reach 1)

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

7,779,696 3,889,848 1,944,924 972,462 486,231 1,458,694 729,347 2,188,042 1,094,021 3,282,064 1,641,032 820,516 410,258 205,129 615,388 307,694 153,847 461,542 230,771 692,314 346,157 1,038,472 519,236 259,618 129,809 389,428 194,714 97,357 292,072 146,036 73,018 36,509 109,528 54,764 27,382 13,691 41,074 20,537 61,612 30,806 15,403 46,210 23,105 69,316 34,658 17,329 51,988 25,994 12,997 38,992 19,496 9,748 4,874 2,437 7,312 3,656 1,828 914 457 1,372

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