λ
Prime Ledger

2,642,590

2 × 5 × 401 × 659
Deficient Even Composite

2,642,590 has the prime decomposition 2 × 5 × 401 × 659. Its 4 distinct prime factors produce 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 5 × 401 × 659
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 4,775,760
Proper Divisor Sum 2,133,170
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #2642587 ← → #2642603

Radix Representation

Decimal 2642590
Binary 1010000101001010011110 (22 bits)
Octal 0o12051236
Hexadecimal 0x28529E

Divisor Catalog (16)

1 2 5 10 401 659 802 1,318 2,005 3,295 4,010 6,590 264,259 528,518 1,321,295 2,642,590

Collatz Trajectory (293 steps to reach 1)

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

2,642,590 1,321,295 3,963,886 1,981,943 5,945,830 2,972,915 8,918,746 4,459,373 13,378,120 6,689,060 3,344,530 1,672,265 5,016,796 2,508,398 1,254,199 3,762,598 1,881,299 5,643,898 2,821,949 8,465,848 4,232,924 2,116,462 1,058,231 3,174,694 1,587,347 4,762,042 2,381,021 7,143,064 3,571,532 1,785,766 892,883 2,678,650 1,339,325 4,017,976 2,008,988 1,004,494 502,247 1,506,742 753,371 2,260,114 1,130,057 3,390,172 1,695,086 847,543 2,542,630 1,271,315 3,813,946 1,906,973 5,720,920 2,860,460 1,430,230 715,115 2,145,346 1,072,673 3,218,020 1,609,010 804,505 2,413,516 1,206,758 603,379

More profiles

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