λ
Matchaa Zalai

7,746,031

7746031
Deficient Odd Prime

7,746,031 factors as 7746031. Its 2 positive divisors give a proper-divisor sum of 1, so this integer is deficient. The Collatz stopping time is 111 steps.

Prime Factor Structure

Factorization String 7746031
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 7,746,032
Proper Divisor Sum 1
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #7746019 ← → #7746047

Radix Representation

Decimal 7746031
Binary 11101100011000111101111 (23 bits)
Octal 0o35430757
Hexadecimal 0x7631EF

Divisor Catalog (2)

Collatz Trajectory (111 steps to reach 1)

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

7,746,031 23,238,094 11,619,047 34,857,142 17,428,571 52,285,714 26,142,857 78,428,572 39,214,286 19,607,143 58,821,430 29,410,715 88,232,146 44,116,073 132,348,220 66,174,110 33,087,055 99,261,166 49,630,583 148,891,750 74,445,875 223,337,626 111,668,813 335,006,440 167,503,220 83,751,610 41,875,805 125,627,416 62,813,708 31,406,854 15,703,427 47,110,282 23,555,141 70,665,424 35,332,712 17,666,356 8,833,178 4,416,589 13,249,768 6,624,884 3,312,442 1,656,221 4,968,664 2,484,332 1,242,166 621,083 1,863,250 931,625 2,794,876 1,397,438 698,719 2,096,158 1,048,079 3,144,238 1,572,119 4,716,358 2,358,179 7,074,538 3,537,269 10,611,808

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