46,973,668

2² × 7 × 1677631

46,973,668 factors as 2^2 × 7 × 1677631. Its 12 positive divisors give a proper-divisor sum of 46,973,724, so this integer is abundant. The Collatz stopping time is 217 steps.

Prime Factor Structure

Factorization String 2^2 × 7 × 1677631

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 93,947,392

Proper Divisor Sum 46,973,724

Digit Sum / Digital Root 49 (Root: 4)

Adjacent Primes #46973629 ← → #46973677

Radix Representation

Decimal	46973668
Binary	10110011001100001011100100 (26 bits)
Octal	0o263141344
Hexadecimal	0x2CCC2E4

Divisor Catalog (12)

1 2 4 7 14 28 1,677,631 3,355,262 6,710,524 11,743,417 23,486,834 46,973,668

Collatz Trajectory (217 steps to reach 1)

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

46,973,668 23,486,834 11,743,417 35,230,252 17,615,126 8,807,563 26,422,690 13,211,345 39,634,036 19,817,018 9,908,509 29,725,528 14,862,764 7,431,382 3,715,691 11,147,074 5,573,537 16,720,612 8,360,306 4,180,153 12,540,460 6,270,230 3,135,115 9,405,346 4,702,673 14,108,020 7,054,010 3,527,005 10,581,016 5,290,508 2,645,254 1,322,627 3,967,882 1,983,941 5,951,824 2,975,912 1,487,956 743,978 371,989 1,115,968 557,984 278,992 139,496 69,748 34,874 17,437 52,312 26,156 13,078 6,539 19,618 9,809 29,428 14,714 7,357 22,072 11,036 5,518 2,759 8,278

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #46,973,667 Browse Full Index Next Integer #46,973,669 →