λ
Integer Codex

7,761,967

7761967
Deficient Odd Prime

For 7,761,967, the 2 positive divisors have a total of 7,761,968. Removing 7,761,967 leaves 1, which gives the deficient classification.

Prime Factor Structure

Factorization String 7761967
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 7,761,968
Proper Divisor Sum 1
Digit Sum / Digital Root 43 (Root: 7)
Adjacent Primes #7761953 ← → #7761989

Radix Representation

Decimal 7761967
Binary 11101100111000000101111 (23 bits)
Octal 0o35470057
Hexadecimal 0x76702F

Divisor Catalog (2)

Collatz Trajectory (142 steps to reach 1)

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

7,761,967 23,285,902 11,642,951 34,928,854 17,464,427 52,393,282 26,196,641 78,589,924 39,294,962 19,647,481 58,942,444 29,471,222 14,735,611 44,206,834 22,103,417 66,310,252 33,155,126 16,577,563 49,732,690 24,866,345 74,599,036 37,299,518 18,649,759 55,949,278 27,974,639 83,923,918 41,961,959 125,885,878 62,942,939 188,828,818 94,414,409 283,243,228 141,621,614 70,810,807 212,432,422 106,216,211 318,648,634 159,324,317 477,972,952 238,986,476 119,493,238 59,746,619 179,239,858 89,619,929 268,859,788 134,429,894 67,214,947 201,644,842 100,822,421 302,467,264 151,233,632 75,616,816 37,808,408 18,904,204 9,452,102 4,726,051 14,178,154 7,089,077 21,267,232 10,633,616

More profiles

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