λ
Harmonic Matrix

7,631,969

7631969
Deficient Odd Prime

7,631,969 has digital root 5. The neighboring primes are 7631957 and 7631971; its proper-divisor sum differs from the starting integer by -7,631,968.

Prime Factor Structure

Factorization String 7631969
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 7,631,970
Proper Divisor Sum 1
Digit Sum / Digital Root 41 (Root: 5)
Adjacent Primes #7631957 ← → #7631971

Radix Representation

Decimal 7631969
Binary 11101000111010001100001 (23 bits)
Octal 0o35072141
Hexadecimal 0x747461

Divisor Catalog (2)

Collatz Trajectory (129 steps to reach 1)

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

7,631,969 22,895,908 11,447,954 5,723,977 17,171,932 8,585,966 4,292,983 12,878,950 6,439,475 19,318,426 9,659,213 28,977,640 14,488,820 7,244,410 3,622,205 10,866,616 5,433,308 2,716,654 1,358,327 4,074,982 2,037,491 6,112,474 3,056,237 9,168,712 4,584,356 2,292,178 1,146,089 3,438,268 1,719,134 859,567 2,578,702 1,289,351 3,868,054 1,934,027 5,802,082 2,901,041 8,703,124 4,351,562 2,175,781 6,527,344 3,263,672 1,631,836 815,918 407,959 1,223,878 611,939 1,835,818 917,909 2,753,728 1,376,864 688,432 344,216 172,108 86,054 43,027 129,082 64,541 193,624 96,812 48,406

More profiles

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