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Atlas › Integer Profiles › Node 47,466,790

47,466,790

2 × 5 × 72 × 73 × 1327
Abundant Even Composite

47,466,790 factors as 2 × 5 × 7^2 × 73 × 1327. Its 48 positive divisors give a proper-divisor sum of 53,360,282, so this integer is abundant. The Collatz stopping time is 93 steps.

Prime Factor Structure

Factorization String 2 × 5 × 7^2 × 73 × 1327
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 100,827,072
Proper Divisor Sum 53,360,282
Digit Sum / Digital Root 43 (Root: 7)
Adjacent Primes #47466773 ← → #47466791

Radix Representation

Decimal 47466790
Binary 10110101000100100100100110 (26 bits)
Octal 0o265044446
Hexadecimal 0x2D44926

Divisor Catalog (48)

1 2 5 7 10 14 35 49 70 73 98 146 245 365 490 511 730 1,022 1,327 2,555 2,654 3,577 5,110 6,635 7,154 9,289 13,270 17,885 18,578 35,770 46,445 65,023 92,890 96,871 130,046 193,742 325,115 484,355 650,230 678,097 968,710 1,356,194 3,390,485 4,746,679 6,780,970 9,493,358 23,733,395 47,466,790

Collatz Trajectory (93 steps to reach 1)

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

47,466,790 23,733,395 71,200,186 35,600,093 106,800,280 53,400,140 26,700,070 13,350,035 40,050,106 20,025,053 60,075,160 30,037,580 15,018,790 7,509,395 22,528,186 11,264,093 33,792,280 16,896,140 8,448,070 4,224,035 12,672,106 6,336,053 19,008,160 9,504,080 4,752,040 2,376,020 1,188,010 594,005 1,782,016 891,008 445,504 222,752 111,376 55,688 27,844 13,922 6,961 20,884 10,442 5,221 15,664 7,832 3,916 1,958 979 2,938 1,469 4,408 2,204 1,102 551 1,654 827 2,482 1,241 3,724 1,862 931 2,794 1,397

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