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Atlas › Integer Profiles › Node 46,973,540

46,973,540

22 × 5 × 1097 × 2141
Abundant Even Composite

46,973,540 factors as 2^2 × 5 × 1097 × 2141. Its 24 positive divisors give a proper-divisor sum of 51,806,932, so this integer is abundant. The Collatz stopping time is 93 steps.

Prime Factor Structure

Factorization String 2^2 × 5 × 1097 × 2141
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 98,780,472
Proper Divisor Sum 51,806,932
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #46973527 ← → #46973543

Radix Representation

Decimal 46973540
Binary 10110011001100001001100100 (26 bits)
Octal 0o263141144
Hexadecimal 0x2CCC264

Divisor Catalog (24)

1 2 4 5 10 20 1,097 2,141 2,194 4,282 4,388 5,485 8,564 10,705 10,970 21,410 21,940 42,820 2,348,677 4,697,354 9,394,708 11,743,385 23,486,770 46,973,540

Collatz Trajectory (93 steps to reach 1)

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

46,973,540 23,486,770 11,743,385 35,230,156 17,615,078 8,807,539 26,422,618 13,211,309 39,633,928 19,816,964 9,908,482 4,954,241 14,862,724 7,431,362 3,715,681 11,147,044 5,573,522 2,786,761 8,360,284 4,180,142 2,090,071 6,270,214 3,135,107 9,405,322 4,702,661 14,107,984 7,053,992 3,526,996 1,763,498 881,749 2,645,248 1,322,624 661,312 330,656 165,328 82,664 41,332 20,666 10,333 31,000 15,500 7,750 3,875 11,626 5,813 17,440 8,720 4,360 2,180 1,090 545 1,636 818 409 1,228 614 307 922 461 1,384

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