λ
Ratio Atlas

75,008,751

3 × 19 × 1315943
Deficient Odd Composite

75,008,751 factors as 3 × 19 × 1315943. Its 8 positive divisors give a proper-divisor sum of 30,266,769, so this integer is deficient. The Collatz stopping time is 153 steps.

Prime Factor Structure

Factorization String 3 × 19 × 1315943
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 105,275,520
Proper Divisor Sum 30,266,769
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #75008701 ← → #75008771

Radix Representation

Decimal 75008751
Binary 100011110001000101011101111 (27 bits)
Octal 0o436105357
Hexadecimal 0x4788AEF

Divisor Catalog (8)

Collatz Trajectory (153 steps to reach 1)

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

75,008,751 225,026,254 112,513,127 337,539,382 168,769,691 506,309,074 253,154,537 759,463,612 379,731,806 189,865,903 569,597,710 284,798,855 854,396,566 427,198,283 1,281,594,850 640,797,425 1,922,392,276 961,196,138 480,598,069 1,441,794,208 720,897,104 360,448,552 180,224,276 90,112,138 45,056,069 135,168,208 67,584,104 33,792,052 16,896,026 8,448,013 25,344,040 12,672,020 6,336,010 3,168,005 9,504,016 4,752,008 2,376,004 1,188,002 594,001 1,782,004 891,002 445,501 1,336,504 668,252 334,126 167,063 501,190 250,595 751,786 375,893 1,127,680 563,840 281,920 140,960 70,480 35,240 17,620 8,810 4,405 13,216

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