1,004,439

3 × 37 × 9049

1,004,439 factors as 3 × 37 × 9049. Its 8 positive divisors give a proper-divisor sum of 371,161, so this integer is deficient. The Collatz stopping time is 134 steps.

Prime Factor Structure

Factorization String 3 × 37 × 9049

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 1,375,600

Proper Divisor Sum 371,161

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #1004429 ← → #1004441

Radix Representation

Decimal	1004439
Binary	11110101001110010111 (20 bits)
Octal	0o3651627
Hexadecimal	0xF5397

Divisor Catalog (8)

1 3 37 111 9,049 27,147 334,813 1,004,439

Collatz Trajectory (134 steps to reach 1)

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

1,004,439 3,013,318 1,506,659 4,519,978 2,259,989 6,779,968 3,389,984 1,694,992 847,496 423,748 211,874 105,937 317,812 158,906 79,453 238,360 119,180 59,590 29,795 89,386 44,693 134,080 67,040 33,520 16,760 8,380 4,190 2,095 6,286 3,143 9,430 4,715 14,146 7,073 21,220 10,610 5,305 15,916 7,958 3,979 11,938 5,969 17,908 8,954 4,477 13,432 6,716 3,358 1,679 5,038 2,519 7,558 3,779 11,338 5,669 17,008 8,504 4,252 2,126 1,063

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