λ
Harmonic Matrix

8,722,459

8722459
Deficient Odd Prime

8,722,459 has digital root 1. The neighboring primes are 8722447 and 8722471; its proper-divisor sum differs from the starting integer by -8,722,458.

Prime Factor Structure

Factorization String 8722459
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 8,722,460
Proper Divisor Sum 1
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #8722447 ← → #8722471

Radix Representation

Decimal 8722459
Binary 100001010001100000011011 (24 bits)
Octal 0o41214033
Hexadecimal 0x85181B

Divisor Catalog (2)

Collatz Trajectory (318 steps to reach 1)

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

8,722,459 26,167,378 13,083,689 39,251,068 19,625,534 9,812,767 29,438,302 14,719,151 44,157,454 22,078,727 66,236,182 33,118,091 99,354,274 49,677,137 149,031,412 74,515,706 37,257,853 111,773,560 55,886,780 27,943,390 13,971,695 41,915,086 20,957,543 62,872,630 31,436,315 94,308,946 47,154,473 141,463,420 70,731,710 35,365,855 106,097,566 53,048,783 159,146,350 79,573,175 238,719,526 119,359,763 358,079,290 179,039,645 537,118,936 268,559,468 134,279,734 67,139,867 201,419,602 100,709,801 302,129,404 151,064,702 75,532,351 226,597,054 113,298,527 339,895,582 169,947,791 509,843,374 254,921,687 764,765,062 382,382,531 1,147,147,594 573,573,797 1,720,721,392 860,360,696 430,180,348

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