λ
Harmonic Matrix

7,636,669

7636669
Deficient Odd Prime

7,636,669 has digital root 7. The neighboring primes are 7636663 and 7636703; its proper-divisor sum differs from the starting integer by -7,636,668.

Prime Factor Structure

Factorization String 7636669
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 7,636,670
Proper Divisor Sum 1
Digit Sum / Digital Root 43 (Root: 7)
Adjacent Primes #7636663 ← → #7636703

Radix Representation

Decimal 7636669
Binary 11101001000011010111101 (23 bits)
Octal 0o35103275
Hexadecimal 0x7486BD

Divisor Catalog (2)

Collatz Trajectory (217 steps to reach 1)

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

7,636,669 22,910,008 11,455,004 5,727,502 2,863,751 8,591,254 4,295,627 12,886,882 6,443,441 19,330,324 9,665,162 4,832,581 14,497,744 7,248,872 3,624,436 1,812,218 906,109 2,718,328 1,359,164 679,582 339,791 1,019,374 509,687 1,529,062 764,531 2,293,594 1,146,797 3,440,392 1,720,196 860,098 430,049 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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