997,440

2⁶ × 3 × 5 × 1039

For 997,440, the 56 positive divisors have a total of 3,169,920. Removing 997,440 leaves 2,172,480, which gives the abundant classification.

Prime Factor Structure

Factorization String 2^6 × 3 × 5 × 1039

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 56

Divisor Sum (σ) 3,169,920

Proper Divisor Sum 2,172,480

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #997439 ← → #997453

Radix Representation

Decimal	997440
Binary	11110011100001000000 (20 bits)
Octal	0o3634100
Hexadecimal	0xF3840

Divisor Catalog (56)

1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 480 960 1,039 2,078 3,117 4,156 5,195 6,234 8,312 10,390 12,468 15,585 16,624 20,780 24,936 31,170 33,248 41,560 49,872 62,340 66,496 83,120 99,744 124,680 166,240 199,488 249,360 332,480 498,720 997,440

Collatz Trajectory (90 steps to reach 1)

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

997,440 498,720 249,360 124,680 62,340 31,170 15,585 46,756 23,378 11,689 35,068 17,534 8,767 26,302 13,151 39,454 19,727 59,182 29,591 88,774 44,387 133,162 66,581 199,744 99,872 49,936 24,968 12,484 6,242 3,121 9,364 4,682 2,341 7,024 3,512 1,756 878 439 1,318 659 1,978 989 2,968 1,484 742 371 1,114 557 1,672 836 418 209 628 314 157 472 236 118 59 178

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