7,797,352

2³ × 83 × 11743

7,797,352 factors as 2^3 × 83 × 11743. Its 16 positive divisors give a proper-divisor sum of 7,000,088, so this integer is deficient. The Collatz stopping time is 124 steps.

Prime Factor Structure

Factorization String 2^3 × 83 × 11743

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 14,797,440

Proper Divisor Sum 7,000,088

Digit Sum / Digital Root 40 (Root: 4)

Adjacent Primes #7797323 ← → #7797359

Radix Representation

Decimal	7797352
Binary	11101101111101001101000 (23 bits)
Octal	0o35575150
Hexadecimal	0x76FA68

Divisor Catalog (16)

1 2 4 8 83 166 332 664 11,743 23,486 46,972 93,944 974,669 1,949,338 3,898,676 7,797,352

Collatz Trajectory (124 steps to reach 1)

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

7,797,352 3,898,676 1,949,338 974,669 2,924,008 1,462,004 731,002 365,501 1,096,504 548,252 274,126 137,063 411,190 205,595 616,786 308,393 925,180 462,590 231,295 693,886 346,943 1,040,830 520,415 1,561,246 780,623 2,341,870 1,170,935 3,512,806 1,756,403 5,269,210 2,634,605 7,903,816 3,951,908 1,975,954 987,977 2,963,932 1,481,966 740,983 2,222,950 1,111,475 3,334,426 1,667,213 5,001,640 2,500,820 1,250,410 625,205 1,875,616 937,808 468,904 234,452 117,226 58,613 175,840 87,920 43,960 21,980 10,990 5,495 16,486 8,243

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