1,733,842

2 × 11 × 53 × 1487

1,733,842 factors as 2 × 11 × 53 × 1487. Its 16 positive divisors give a proper-divisor sum of 1,158,830, so this integer is deficient. The Collatz stopping time is 207 steps.

Prime Factor Structure

Factorization String 2 × 11 × 53 × 1487

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 2,892,672

Proper Divisor Sum 1,158,830

Digit Sum / Digital Root 28 (Root: 1)

Adjacent Primes #1733827 ← → #1733843

Radix Representation

Decimal	1733842
Binary	110100111010011010010 (21 bits)
Octal	0o6472322
Hexadecimal	0x1A74D2

Divisor Catalog (16)

1 2 11 22 53 106 583 1,166 1,487 2,974 16,357 32,714 78,811 157,622 866,921 1,733,842

Collatz Trajectory (207 steps to reach 1)

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

1,733,842 866,921 2,600,764 1,300,382 650,191 1,950,574 975,287 2,925,862 1,462,931 4,388,794 2,194,397 6,583,192 3,291,596 1,645,798 822,899 2,468,698 1,234,349 3,703,048 1,851,524 925,762 462,881 1,388,644 694,322 347,161 1,041,484 520,742 260,371 781,114 390,557 1,171,672 585,836 292,918 146,459 439,378 219,689 659,068 329,534 164,767 494,302 247,151 741,454 370,727 1,112,182 556,091 1,668,274 834,137 2,502,412 1,251,206 625,603 1,876,810 938,405 2,815,216 1,407,608 703,804 351,902 175,951 527,854 263,927 791,782 395,891

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