1,748,721

3 × 13 × 44839

1,748,721 factors as 3 × 13 × 44839. Its 8 positive divisors give a proper-divisor sum of 762,319, so this integer is deficient. The Collatz stopping time is 114 steps.

Prime Factor Structure

Factorization String 3 × 13 × 44839

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 2,511,040

Proper Divisor Sum 762,319

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #1748711 ← → #1748723

Radix Representation

Decimal	1748721
Binary	110101010111011110001 (21 bits)
Octal	0o6527361
Hexadecimal	0x1AAEF1

Divisor Catalog (8)

1 3 13 39 44,839 134,517 582,907 1,748,721

Collatz Trajectory (114 steps to reach 1)

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

1,748,721 5,246,164 2,623,082 1,311,541 3,934,624 1,967,312 983,656 491,828 245,914 122,957 368,872 184,436 92,218 46,109 138,328 69,164 34,582 17,291 51,874 25,937 77,812 38,906 19,453 58,360 29,180 14,590 7,295 21,886 10,943 32,830 16,415 49,246 24,623 73,870 36,935 110,806 55,403 166,210 83,105 249,316 124,658 62,329 186,988 93,494 46,747 140,242 70,121 210,364 105,182 52,591 157,774 78,887 236,662 118,331 354,994 177,497 532,492 266,246 133,123 399,370

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