47,616,640

2⁷ × 5 × 47 × 1583

47,616,640 factors as 2^7 × 5 × 47 × 1583. Its 64 positive divisors give a proper-divisor sum of 68,712,320, so this integer is abundant. The Collatz stopping time is 124 steps.

Prime Factor Structure

Factorization String 2^7 × 5 × 47 × 1583

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 64

Divisor Sum (σ) 116,328,960

Proper Divisor Sum 68,712,320

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #47616617 ← → #47616671

Radix Representation

Decimal	47616640
Binary	10110101101001001010000000 (26 bits)
Octal	0o265511200
Hexadecimal	0x2D69280

Divisor Catalog (60 of 64)

1 2 4 5 8 10 16 20 32 40 47 64 80 94 128 160 188 235 320 376 470 640 752 940 1,504 1,583 1,880 3,008 3,166 3,760 6,016 6,332 7,520 7,915 12,664 15,040 15,830 25,328 30,080 31,660 50,656 63,320 74,401 101,312 126,640 148,802 202,624 253,280 297,604 372,005 506,560 595,208 744,010 1,013,120 1,190,416 1,488,020 2,380,832 2,976,040 4,761,664 5,952,080

Collatz Trajectory (124 steps to reach 1)

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

47,616,640 23,808,320 11,904,160 5,952,080 2,976,040 1,488,020 744,010 372,005 1,116,016 558,008 279,004 139,502 69,751 209,254 104,627 313,882 156,941 470,824 235,412 117,706 58,853 176,560 88,280 44,140 22,070 11,035 33,106 16,553 49,660 24,830 12,415 37,246 18,623 55,870 27,935 83,806 41,903 125,710 62,855 188,566 94,283 282,850 141,425 424,276 212,138 106,069 318,208 159,104 79,552 39,776 19,888 9,944 4,972 2,486 1,243 3,730 1,865 5,596 2,798 1,399

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #47,616,639 Browse Full Index Next Integer #47,616,641 →