1,640,025

3² × 5² × 37 × 197

1,640,025 is odd and not a perfect square. Its factorization is 3^2 × 5^2 × 37 × 197 and its 36 divisors sum to 3,032,172.

Prime Factor Structure

Factorization String 3^2 × 5^2 × 37 × 197

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 36

Divisor Sum (σ) 3,032,172

Proper Divisor Sum 1,392,147

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #1640021 ← → #1640033

Radix Representation

Decimal	1640025
Binary	110010000011001011001 (21 bits)
Octal	0o6203131
Hexadecimal	0x190659

Divisor Catalog (36)

1 3 5 9 15 25 37 45 75 111 185 197 225 333 555 591 925 985 1,665 1,773 2,775 2,955 4,925 7,289 8,325 8,865 14,775 21,867 36,445 44,325 65,601 109,335 182,225 328,005 546,675 1,640,025

Collatz Trajectory (88 steps to reach 1)

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

1,640,025 4,920,076 2,460,038 1,230,019 3,690,058 1,845,029 5,535,088 2,767,544 1,383,772 691,886 345,943 1,037,830 518,915 1,556,746 778,373 2,335,120 1,167,560 583,780 291,890 145,945 437,836 218,918 109,459 328,378 164,189 492,568 246,284 123,142 61,571 184,714 92,357 277,072 138,536 69,268 34,634 17,317 51,952 25,976 12,988 6,494 3,247 9,742 4,871 14,614 7,307 21,922 10,961 32,884 16,442 8,221 24,664 12,332 6,166 3,083 9,250 4,625 13,876 6,938 3,469 10,408

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