1,736,976

2⁴ × 3 × 36187

1,736,976 factors as 2^4 × 3 × 36187. Its 20 positive divisors give a proper-divisor sum of 2,750,336, so this integer is abundant. The Collatz stopping time is 44 steps.

Prime Factor Structure

Factorization String 2^4 × 3 × 36187

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 20

Divisor Sum (σ) 4,487,312

Proper Divisor Sum 2,750,336

Digit Sum / Digital Root 39 (Root: 3)

Adjacent Primes #1736971 ← → #1736981

Radix Representation

Decimal	1736976
Binary	110101000000100010000 (21 bits)
Octal	0o6500420
Hexadecimal	0x1A8110

Divisor Catalog (20)

1 2 3 4 6 8 12 16 24 48 36,187 72,374 108,561 144,748 217,122 289,496 434,244 578,992 868,488 1,736,976

Collatz Trajectory (44 steps to reach 1)

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

1,736,976 868,488 434,244 217,122 108,561 325,684 162,842 81,421 244,264 122,132 61,066 30,533 91,600 45,800 22,900 11,450 5,725 17,176 8,588 4,294 2,147 6,442 3,221 9,664 4,832 2,416 1,208 604 302 151 454 227 682 341 1,024 512 256 128 64 32 16 8 4 2 1

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