7,991,767

7 × 311 × 3671

7,991,767 factors as 7 × 311 × 3671. Its 8 positive divisors give a proper-divisor sum of 1,173,545, so this integer is deficient. The Collatz stopping time is 336 steps.

Prime Factor Structure

Factorization String 7 × 311 × 3671

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 9,165,312

Proper Divisor Sum 1,173,545

Digit Sum / Digital Root 46 (Root: 1)

Adjacent Primes #7991759 ← → #7991773

Radix Representation

Decimal	7991767
Binary	11110011111000111010111 (23 bits)
Octal	0o36370727
Hexadecimal	0x79F1D7

Divisor Catalog (8)

1 7 311 2,177 3,671 25,697 1,141,681 7,991,767

Collatz Trajectory (336 steps to reach 1)

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

7,991,767 23,975,302 11,987,651 35,962,954 17,981,477 53,944,432 26,972,216 13,486,108 6,743,054 3,371,527 10,114,582 5,057,291 15,171,874 7,585,937 22,757,812 11,378,906 5,689,453 17,068,360 8,534,180 4,267,090 2,133,545 6,400,636 3,200,318 1,600,159 4,800,478 2,400,239 7,200,718 3,600,359 10,801,078 5,400,539 16,201,618 8,100,809 24,302,428 12,151,214 6,075,607 18,226,822 9,113,411 27,340,234 13,670,117 41,010,352 20,505,176 10,252,588 5,126,294 2,563,147 7,689,442 3,844,721 11,534,164 5,767,082 2,883,541 8,650,624 4,325,312 2,162,656 1,081,328 540,664 270,332 135,166 67,583 202,750 101,375 304,126

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