λ
Prime Ledger

9,010,582

2 × 7 × 79 × 8147
Deficient Even Composite

9,010,582 has the prime decomposition 2 × 7 × 79 × 8147. Its 4 distinct prime factors produce 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 7 × 79 × 8147
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 15,644,160
Proper Divisor Sum 6,633,578
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #9010567 ← → #9010633

Radix Representation

Decimal 9010582
Binary 100010010111110110010110 (24 bits)
Octal 0o42276626
Hexadecimal 0x897D96

Divisor Catalog (16)

1 2 7 14 79 158 553 1,106 8,147 16,294 57,029 114,058 643,613 1,287,226 4,505,291 9,010,582

Collatz Trajectory (256 steps to reach 1)

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

9,010,582 4,505,291 13,515,874 6,757,937 20,273,812 10,136,906 5,068,453 15,205,360 7,602,680 3,801,340 1,900,670 950,335 2,851,006 1,425,503 4,276,510 2,138,255 6,414,766 3,207,383 9,622,150 4,811,075 14,433,226 7,216,613 21,649,840 10,824,920 5,412,460 2,706,230 1,353,115 4,059,346 2,029,673 6,089,020 3,044,510 1,522,255 4,566,766 2,283,383 6,850,150 3,425,075 10,275,226 5,137,613 15,412,840 7,706,420 3,853,210 1,926,605 5,779,816 2,889,908 1,444,954 722,477 2,167,432 1,083,716 541,858 270,929 812,788 406,394 203,197 609,592 304,796 152,398 76,199 228,598 114,299 342,898

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