λ
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Atlas › Integer Profiles › Node 71,268,340

71,268,340

22 × 5 × 11 × 13 × 24919
Abundant Even Composite

71,268,340 factors as 2^2 × 5 × 11 × 13 × 24919. Its 48 positive divisors give a proper-divisor sum of 104,567,180, so this integer is abundant. The Collatz stopping time is 197 steps.

Prime Factor Structure

Factorization String 2^2 × 5 × 11 × 13 × 24919
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 175,835,520
Proper Divisor Sum 104,567,180
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #71268319 ← → #71268343

Radix Representation

Decimal 71268340
Binary 100001111110111011111110100 (27 bits)
Octal 0o417673764
Hexadecimal 0x43F77F4

Divisor Catalog (48)

1 2 4 5 10 11 13 20 22 26 44 52 55 65 110 130 143 220 260 286 572 715 1,430 2,860 24,919 49,838 99,676 124,595 249,190 274,109 323,947 498,380 548,218 647,894 1,096,436 1,295,788 1,370,545 1,619,735 2,741,090 3,239,470 3,563,417 5,482,180 6,478,940 7,126,834 14,253,668 17,817,085 35,634,170 71,268,340

Collatz Trajectory (197 steps to reach 1)

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

71,268,340 35,634,170 17,817,085 53,451,256 26,725,628 13,362,814 6,681,407 20,044,222 10,022,111 30,066,334 15,033,167 45,099,502 22,549,751 67,649,254 33,824,627 101,473,882 50,736,941 152,210,824 76,105,412 38,052,706 19,026,353 57,079,060 28,539,530 14,269,765 42,809,296 21,404,648 10,702,324 5,351,162 2,675,581 8,026,744 4,013,372 2,006,686 1,003,343 3,010,030 1,505,015 4,515,046 2,257,523 6,772,570 3,386,285 10,158,856 5,079,428 2,539,714 1,269,857 3,809,572 1,904,786 952,393 2,857,180 1,428,590 714,295 2,142,886 1,071,443 3,214,330 1,607,165 4,821,496 2,410,748 1,205,374 602,687 1,808,062 904,031 2,712,094

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