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Atlas › Integer Profiles › Node 8,092,734

8,092,734

2 × 3 × 132 × 23 × 347
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 3 × 13^2 × 23 × 347
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 18,340,992
Proper Divisor Sum 10,248,258
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #8092723 ← → #8092739

Radix Representation

Decimal 8092734
Binary 11110110111110000111110 (23 bits)
Octal 0o36676076
Hexadecimal 0x7B7C3E

Divisor Catalog (48)

1 2 3 6 13 23 26 39 46 69 78 138 169 299 338 347 507 598 694 897 1,014 1,041 1,794 2,082 3,887 4,511 7,774 7,981 9,022 11,661 13,533 15,962 23,322 23,943 27,066 47,886 58,643 103,753 117,286 175,929 207,506 311,259 351,858 622,518 1,348,789 2,697,578 4,046,367 8,092,734

Collatz Trajectory (248 steps to reach 1)

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

8,092,734 4,046,367 12,139,102 6,069,551 18,208,654 9,104,327 27,312,982 13,656,491 40,969,474 20,484,737 61,454,212 30,727,106 15,363,553 46,090,660 23,045,330 11,522,665 34,567,996 17,283,998 8,641,999 25,925,998 12,962,999 38,888,998 19,444,499 58,333,498 29,166,749 87,500,248 43,750,124 21,875,062 10,937,531 32,812,594 16,406,297 49,218,892 24,609,446 12,304,723 36,914,170 18,457,085 55,371,256 27,685,628 13,842,814 6,921,407 20,764,222 10,382,111 31,146,334 15,573,167 46,719,502 23,359,751 70,079,254 35,039,627 105,118,882 52,559,441 157,678,324 78,839,162 39,419,581 118,258,744 59,129,372 29,564,686 14,782,343 44,347,030 22,173,515 66,520,546

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