λ
Harmonic Matrix

7,626,991

7626991
Deficient Odd Prime

7,626,991 has digital root 4. The neighboring primes are 7626979 and 7627003; its proper-divisor sum differs from the starting integer by -7,626,990.

Prime Factor Structure

Factorization String 7626991
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 7,626,992
Proper Divisor Sum 1
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #7626979 ← → #7627003

Radix Representation

Decimal 7626991
Binary 11101000110000011101111 (23 bits)
Octal 0o35060357
Hexadecimal 0x7460EF

Divisor Catalog (2)

Collatz Trajectory (142 steps to reach 1)

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

7,626,991 22,880,974 11,440,487 34,321,462 17,160,731 51,482,194 25,741,097 77,223,292 38,611,646 19,305,823 57,917,470 28,958,735 86,876,206 43,438,103 130,314,310 65,157,155 195,471,466 97,735,733 293,207,200 146,603,600 73,301,800 36,650,900 18,325,450 9,162,725 27,488,176 13,744,088 6,872,044 3,436,022 1,718,011 5,154,034 2,577,017 7,731,052 3,865,526 1,932,763 5,798,290 2,899,145 8,697,436 4,348,718 2,174,359 6,523,078 3,261,539 9,784,618 4,892,309 14,676,928 7,338,464 3,669,232 1,834,616 917,308 458,654 229,327 687,982 343,991 1,031,974 515,987 1,547,962 773,981 2,321,944 1,160,972 580,486 290,243

More profiles

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