λ
Harmonic Matrix

8,626,591

1117 × 7723
Deficient Odd Composite

8,626,591 has digital root 1. The neighboring primes are 8626577 and 8626603; its proper-divisor sum differs from the starting integer by -8,617,750.

Prime Factor Structure

Factorization String 1117 × 7723
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 8,635,432
Proper Divisor Sum 8,841
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #8626577 ← → #8626603

Radix Representation

Decimal 8626591
Binary 100000111010000110011111 (24 bits)
Octal 0o40720637
Hexadecimal 0x83A19F

Divisor Catalog (4)

1 1,117 7,723 8,626,591

Collatz Trajectory (318 steps to reach 1)

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

8,626,591 25,879,774 12,939,887 38,819,662 19,409,831 58,229,494 29,114,747 87,344,242 43,672,121 131,016,364 65,508,182 32,754,091 98,262,274 49,131,137 147,393,412 73,696,706 36,848,353 110,545,060 55,272,530 27,636,265 82,908,796 41,454,398 20,727,199 62,181,598 31,090,799 93,272,398 46,636,199 139,908,598 69,954,299 209,862,898 104,931,449 314,794,348 157,397,174 78,698,587 236,095,762 118,047,881 354,143,644 177,071,822 88,535,911 265,607,734 132,803,867 398,411,602 199,205,801 597,617,404 298,808,702 149,404,351 448,213,054 224,106,527 672,319,582 336,159,791 1,008,479,374 504,239,687 1,512,719,062 756,359,531 2,269,078,594 1,134,539,297 3,403,617,892 1,701,808,946 850,904,473 2,552,713,420

More profiles

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