47,348,656

2⁴ × 31 × 95461

47,348,656 factors as 2^4 × 31 × 95461. Its 20 positive divisors give a proper-divisor sum of 47,349,648, so this integer is abundant. The Collatz stopping time is 217 steps.

Prime Factor Structure

Factorization String 2^4 × 31 × 95461

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 20

Divisor Sum (σ) 94,698,304

Proper Divisor Sum 47,349,648

Digit Sum / Digital Root 43 (Root: 7)

Adjacent Primes #47348597 ← → #47348669

Radix Representation

Decimal	47348656
Binary	10110100100111101110110000 (26 bits)
Octal	0o264475660
Hexadecimal	0x2D27BB0

Divisor Catalog (20)

Collatz Trajectory (217 steps to reach 1)

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

47,348,656 23,674,328 11,837,164 5,918,582 2,959,291 8,877,874 4,438,937 13,316,812 6,658,406 3,329,203 9,987,610 4,993,805 14,981,416 7,490,708 3,745,354 1,872,677 5,618,032 2,809,016 1,404,508 702,254 351,127 1,053,382 526,691 1,580,074 790,037 2,370,112 1,185,056 592,528 296,264 148,132 74,066 37,033 111,100 55,550 27,775 83,326 41,663 124,990 62,495 187,486 93,743 281,230 140,615 421,846 210,923 632,770 316,385 949,156 474,578 237,289 711,868 355,934 177,967 533,902 266,951 800,854 400,427 1,201,282 600,641 1,801,924

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #47,348,655 Browse Full Index Next Integer #47,348,657 →