λ
Harmonic Matrix

7,636,627

7636627
Deficient Odd Prime

7,636,627 has digital root 1. The neighboring primes are 7636597 and 7636661; its proper-divisor sum differs from the starting integer by -7,636,626.

Prime Factor Structure

Factorization String 7636627
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 7,636,628
Proper Divisor Sum 1
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #7636597 ← → #7636661

Radix Representation

Decimal 7636627
Binary 11101001000011010010011 (23 bits)
Octal 0o35103223
Hexadecimal 0x748693

Divisor Catalog (2)

1 7,636,627

Collatz Trajectory (217 steps to reach 1)

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

7,636,627 22,909,882 11,454,941 34,364,824 17,182,412 8,591,206 4,295,603 12,886,810 6,443,405 19,330,216 9,665,108 4,832,554 2,416,277 7,248,832 3,624,416 1,812,208 906,104 453,052 226,526 113,263 339,790 169,895 509,686 254,843 764,530 382,265 1,146,796 573,398 286,699 860,098 430,049 1,290,148 645,074 322,537 967,612 483,806 241,903 725,710 362,855 1,088,566 544,283 1,632,850 816,425 2,449,276 1,224,638 612,319 1,836,958 918,479 2,755,438 1,377,719 4,133,158 2,066,579 6,199,738 3,099,869 9,299,608 4,649,804 2,324,902 1,162,451 3,487,354 1,743,677

More profiles

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