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Atlas › Integer Profiles › Node 45,276,748

45,276,748

22 × 112 × 139 × 673
Deficient Even Composite

45,276,748 factors as 2^2 × 11^2 × 139 × 673. Its 36 positive divisors give a proper-divisor sum of 42,572,412, so this integer is deficient. The Collatz stopping time is 160 steps.

Prime Factor Structure

Factorization String 2^2 × 11^2 × 139 × 673
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 87,849,160
Proper Divisor Sum 42,572,412
Digit Sum / Digital Root 43 (Root: 7)
Adjacent Primes #45276733 ← → #45276757

Radix Representation

Decimal 45276748
Binary 10101100101101111001001100 (26 bits)
Octal 0o254557114
Hexadecimal 0x2B2DE4C

Divisor Catalog (36)

1 2 4 11 22 44 121 139 242 278 484 556 673 1,346 1,529 2,692 3,058 6,116 7,403 14,806 16,819 29,612 33,638 67,276 81,433 93,547 162,866 187,094 325,732 374,188 1,029,017 2,058,034 4,116,068 11,319,187 22,638,374 45,276,748

Collatz Trajectory (160 steps to reach 1)

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

45,276,748 22,638,374 11,319,187 33,957,562 16,978,781 50,936,344 25,468,172 12,734,086 6,367,043 19,101,130 9,550,565 28,651,696 14,325,848 7,162,924 3,581,462 1,790,731 5,372,194 2,686,097 8,058,292 4,029,146 2,014,573 6,043,720 3,021,860 1,510,930 755,465 2,266,396 1,133,198 566,599 1,699,798 849,899 2,549,698 1,274,849 3,824,548 1,912,274 956,137 2,868,412 1,434,206 717,103 2,151,310 1,075,655 3,226,966 1,613,483 4,840,450 2,420,225 7,260,676 3,630,338 1,815,169 5,445,508 2,722,754 1,361,377 4,084,132 2,042,066 1,021,033 3,063,100 1,531,550 765,775 2,297,326 1,148,663 3,445,990 1,722,995

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