λ
Prime Ledger

8,602,126

2 × 13 × 373 × 887
Deficient Even Composite

8,602,126 has the prime decomposition 2 × 13 × 373 × 887. Its 4 distinct prime factors produce 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 13 × 373 × 887
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 13,948,704
Proper Divisor Sum 5,346,578
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #8602109 ← → #8602151

Radix Representation

Decimal 8602126
Binary 100000110100001000001110 (24 bits)
Octal 0o40641016
Hexadecimal 0x83420E

Divisor Catalog (16)

1 2 13 26 373 746 887 1,774 4,849 9,698 11,531 23,062 330,851 661,702 4,301,063 8,602,126

Collatz Trajectory (199 steps to reach 1)

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

8,602,126 4,301,063 12,903,190 6,451,595 19,354,786 9,677,393 29,032,180 14,516,090 7,258,045 21,774,136 10,887,068 5,443,534 2,721,767 8,165,302 4,082,651 12,247,954 6,123,977 18,371,932 9,185,966 4,592,983 13,778,950 6,889,475 20,668,426 10,334,213 31,002,640 15,501,320 7,750,660 3,875,330 1,937,665 5,812,996 2,906,498 1,453,249 4,359,748 2,179,874 1,089,937 3,269,812 1,634,906 817,453 2,452,360 1,226,180 613,090 306,545 919,636 459,818 229,909 689,728 344,864 172,432 86,216 43,108 21,554 10,777 32,332 16,166 8,083 24,250 12,125 36,376 18,188 9,094

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