λ
Integer Codex

2,591,998

2 × 37 × 35027
Deficient Even Composite

For 2,591,998, the 8 positive divisors have a total of 3,993,192. Removing 2,591,998 leaves 1,401,194, which gives the deficient classification.

Prime Factor Structure

Factorization String 2 × 37 × 35027
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 3,993,192
Proper Divisor Sum 1,401,194
Digit Sum / Digital Root 43 (Root: 7)
Adjacent Primes #2591987 ← → #2592043

Radix Representation

Decimal 2591998
Binary 1001111000110011111110 (22 bits)
Octal 0o11706376
Hexadecimal 0x278CFE

Divisor Catalog (8)

1 2 37 74 35,027 70,054 1,295,999 2,591,998

Collatz Trajectory (249 steps to reach 1)

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

2,591,998 1,295,999 3,887,998 1,943,999 5,831,998 2,915,999 8,747,998 4,373,999 13,121,998 6,560,999 19,682,998 9,841,499 29,524,498 14,762,249 44,286,748 22,143,374 11,071,687 33,215,062 16,607,531 49,822,594 24,911,297 74,733,892 37,366,946 18,683,473 56,050,420 28,025,210 14,012,605 42,037,816 21,018,908 10,509,454 5,254,727 15,764,182 7,882,091 23,646,274 11,823,137 35,469,412 17,734,706 8,867,353 26,602,060 13,301,030 6,650,515 19,951,546 9,975,773 29,927,320 14,963,660 7,481,830 3,740,915 11,222,746 5,611,373 16,834,120 8,417,060 4,208,530 2,104,265 6,312,796 3,156,398 1,578,199 4,734,598 2,367,299 7,101,898 3,550,949

More profiles

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