λ
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Atlas › Integer Profiles › Node 8,053,496

8,053,496

23 × 11 × 232 × 173
Abundant Even Composite

8,053,496 factors as 2^3 × 11 × 23^2 × 173. Its 48 positive divisors give a proper-divisor sum of 9,266,464, so this integer is abundant. The Collatz stopping time is 93 steps.

Prime Factor Structure

Factorization String 2^3 × 11 × 23^2 × 173
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 17,319,960
Proper Divisor Sum 9,266,464
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #8053489 ← → #8053499

Radix Representation

Decimal 8053496
Binary 11110101110001011111000 (23 bits)
Octal 0o36561370
Hexadecimal 0x7AE2F8

Divisor Catalog (48)

1 2 4 8 11 22 23 44 46 88 92 173 184 253 346 506 529 692 1,012 1,058 1,384 1,903 2,024 2,116 3,806 3,979 4,232 5,819 7,612 7,958 11,638 15,224 15,916 23,276 31,832 43,769 46,552 87,538 91,517 175,076 183,034 350,152 366,068 732,136 1,006,687 2,013,374 4,026,748 8,053,496

Collatz Trajectory (93 steps to reach 1)

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

8,053,496 4,026,748 2,013,374 1,006,687 3,020,062 1,510,031 4,530,094 2,265,047 6,795,142 3,397,571 10,192,714 5,096,357 15,289,072 7,644,536 3,822,268 1,911,134 955,567 2,866,702 1,433,351 4,300,054 2,150,027 6,450,082 3,225,041 9,675,124 4,837,562 2,418,781 7,256,344 3,628,172 1,814,086 907,043 2,721,130 1,360,565 4,081,696 2,040,848 1,020,424 510,212 255,106 127,553 382,660 191,330 95,665 286,996 143,498 71,749 215,248 107,624 53,812 26,906 13,453 40,360 20,180 10,090 5,045 15,136 7,568 3,784 1,892 946 473 1,420

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