λ
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Atlas › Integer Profiles › Node 23,331,070

23,331,070

2 × 5 × 7 × 79 × 4219
Abundant Even Composite

23,331,070 factors as 2 × 5 × 7 × 79 × 4219. Its 32 positive divisors give a proper-divisor sum of 25,283,330, so this integer is abundant. The Collatz stopping time is 291 steps.

Prime Factor Structure

Factorization String 2 × 5 × 7 × 79 × 4219
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 48,614,400
Proper Divisor Sum 25,283,330
Digit Sum / Digital Root 19 (Root: 1)
Adjacent Primes #23331047 ← → #23331071

Radix Representation

Decimal 23331070
Binary 1011001000000000011111110 (25 bits)
Octal 0o131000376
Hexadecimal 0x16400FE

Divisor Catalog (32)

1 2 5 7 10 14 35 70 79 158 395 553 790 1,106 2,765 4,219 5,530 8,438 21,095 29,533 42,190 59,066 147,665 295,330 333,301 666,602 1,666,505 2,333,107 3,333,010 4,666,214 11,665,535 23,331,070

Collatz Trajectory (291 steps to reach 1)

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

23,331,070 11,665,535 34,996,606 17,498,303 52,494,910 26,247,455 78,742,366 39,371,183 118,113,550 59,056,775 177,170,326 88,585,163 265,755,490 132,877,745 398,633,236 199,316,618 99,658,309 298,974,928 149,487,464 74,743,732 37,371,866 18,685,933 56,057,800 28,028,900 14,014,450 7,007,225 21,021,676 10,510,838 5,255,419 15,766,258 7,883,129 23,649,388 11,824,694 5,912,347 17,737,042 8,868,521 26,605,564 13,302,782 6,651,391 19,954,174 9,977,087 29,931,262 14,965,631 44,896,894 22,448,447 67,345,342 33,672,671 101,018,014 50,509,007 151,527,022 75,763,511 227,290,534 113,645,267 340,935,802 170,467,901 511,403,704 255,701,852 127,850,926 63,925,463 191,776,390

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