4,613,791

7² × 13 × 7243

4,613,791 has digital root 4. The neighboring primes are 4613773 and 4613803; its proper-divisor sum differs from the starting integer by -3,446,870.

Prime Factor Structure

Factorization String 7^2 × 13 × 7243

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 5,780,712

Proper Divisor Sum 1,166,921

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #4613773 ← → #4613803

Radix Representation

Decimal	4613791
Binary	10001100110011010011111 (23 bits)
Octal	0o21463237
Hexadecimal	0x46669F

Divisor Catalog (12)

1 7 13 49 91 637 7,243 50,701 94,159 354,907 659,113 4,613,791

Collatz Trajectory (330 steps to reach 1)

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

4,613,791 13,841,374 6,920,687 20,762,062 10,381,031 31,143,094 15,571,547 46,714,642 23,357,321 70,071,964 35,035,982 17,517,991 52,553,974 26,276,987 78,830,962 39,415,481 118,246,444 59,123,222 29,561,611 88,684,834 44,342,417 133,027,252 66,513,626 33,256,813 99,770,440 49,885,220 24,942,610 12,471,305 37,413,916 18,706,958 9,353,479 28,060,438 14,030,219 42,090,658 21,045,329 63,135,988 31,567,994 15,783,997 47,351,992 23,675,996 11,837,998 5,918,999 17,756,998 8,878,499 26,635,498 13,317,749 39,953,248 19,976,624 9,988,312 4,994,156 2,497,078 1,248,539 3,745,618 1,872,809 5,618,428 2,809,214 1,404,607 4,213,822 2,106,911 6,320,734

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