λ
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Atlas › Integer Profiles › Node 73,065,643

73,065,643

7 × 17 × 43 × 109 × 131
Deficient Odd Composite

73,065,643 factors as 7 × 17 × 43 × 109 × 131. Its 32 positive divisors give a proper-divisor sum of 18,933,077, so this integer is deficient. The Collatz stopping time is 228 steps.

Prime Factor Structure

Factorization String 7 × 17 × 43 × 109 × 131
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 91,998,720
Proper Divisor Sum 18,933,077
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #73065637 ← → #73065701

Radix Representation

Decimal 73065643
Binary 100010110101110010010101011 (27 bits)
Octal 0o426562253
Hexadecimal 0x45AE4AB

Divisor Catalog (32)

1 7 17 43 109 119 131 301 731 763 917 1,853 2,227 4,687 5,117 5,633 12,971 14,279 15,589 32,809 39,431 79,679 95,761 99,953 242,743 557,753 613,997 670,327 1,699,201 4,297,979 10,437,949 73,065,643

Collatz Trajectory (228 steps to reach 1)

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

73,065,643 219,196,930 109,598,465 328,795,396 164,397,698 82,198,849 246,596,548 123,298,274 61,649,137 184,947,412 92,473,706 46,236,853 138,710,560 69,355,280 34,677,640 17,338,820 8,669,410 4,334,705 13,004,116 6,502,058 3,251,029 9,753,088 4,876,544 2,438,272 1,219,136 609,568 304,784 152,392 76,196 38,098 19,049 57,148 28,574 14,287 42,862 21,431 64,294 32,147 96,442 48,221 144,664 72,332 36,166 18,083 54,250 27,125 81,376 40,688 20,344 10,172 5,086 2,543 7,630 3,815 11,446 5,723 17,170 8,585 25,756 12,878

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