λ
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Atlas › Integer Profiles › Node 45,891,710

45,891,710

2 × 5 × 41 × 173 × 647
Deficient Even Composite

45,891,710 factors as 2 × 5 × 41 × 173 × 647. Its 32 positive divisors give a proper-divisor sum of 39,348,802, so this integer is deficient. The Collatz stopping time is 204 steps.

Prime Factor Structure

Factorization String 2 × 5 × 41 × 173 × 647
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 85,240,512
Proper Divisor Sum 39,348,802
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #45891709 ← → #45891737

Radix Representation

Decimal 45891710
Binary 10101111000100000001111110 (26 bits)
Octal 0o257040176
Hexadecimal 0x2BC407E

Divisor Catalog (32)

1 2 5 10 41 82 173 205 346 410 647 865 1,294 1,730 3,235 6,470 7,093 14,186 26,527 35,465 53,054 70,930 111,931 132,635 223,862 265,270 559,655 1,119,310 4,589,171 9,178,342 22,945,855 45,891,710

Collatz Trajectory (204 steps to reach 1)

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

45,891,710 22,945,855 68,837,566 34,418,783 103,256,350 51,628,175 154,884,526 77,442,263 232,326,790 116,163,395 348,490,186 174,245,093 522,735,280 261,367,640 130,683,820 65,341,910 32,670,955 98,012,866 49,006,433 147,019,300 73,509,650 36,754,825 110,264,476 55,132,238 27,566,119 82,698,358 41,349,179 124,047,538 62,023,769 186,071,308 93,035,654 46,517,827 139,553,482 69,776,741 209,330,224 104,665,112 52,332,556 26,166,278 13,083,139 39,249,418 19,624,709 58,874,128 29,437,064 14,718,532 7,359,266 3,679,633 11,038,900 5,519,450 2,759,725 8,279,176 4,139,588 2,069,794 1,034,897 3,104,692 1,552,346 776,173 2,328,520 1,164,260 582,130 291,065

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