λ
Ratio Atlas

73,851,007

73851007
Deficient Odd Prime

73,851,007 factors as 73851007. Its 2 positive divisors give a proper-divisor sum of 1, so this integer is deficient. The Collatz stopping time is 166 steps.

Prime Factor Structure

Factorization String 73851007
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 73,851,008
Proper Divisor Sum 1
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #73850983 ← → #73851031

Radix Representation

Decimal 73851007
Binary 100011001101110000001111111 (27 bits)
Octal 0o431560177
Hexadecimal 0x466E07F

Divisor Catalog (2)

Collatz Trajectory (166 steps to reach 1)

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

73,851,007 221,553,022 110,776,511 332,329,534 166,164,767 498,494,302 249,247,151 747,741,454 373,870,727 1,121,612,182 560,806,091 1,682,418,274 841,209,137 2,523,627,412 1,261,813,706 630,906,853 1,892,720,560 946,360,280 473,180,140 236,590,070 118,295,035 354,885,106 177,442,553 532,327,660 266,163,830 133,081,915 399,245,746 199,622,873 598,868,620 299,434,310 149,717,155 449,151,466 224,575,733 673,727,200 336,863,600 168,431,800 84,215,900 42,107,950 21,053,975 63,161,926 31,580,963 94,742,890 47,371,445 142,114,336 71,057,168 35,528,584 17,764,292 8,882,146 4,441,073 13,323,220 6,661,610 3,330,805 9,992,416 4,996,208 2,498,104 1,249,052 624,526 312,263 936,790 468,395

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