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Atlas › Integer Profiles › Node 1,708,300

1,708,300

22 × 52 × 11 × 1553
Abundant Even Composite

1,708,300 factors as 2^2 × 5^2 × 11 × 1553. Its 36 positive divisors give a proper-divisor sum of 2,338,316, so this integer is abundant. The Collatz stopping time is 176 steps.

Prime Factor Structure

Factorization String 2^2 × 5^2 × 11 × 1553
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 4,046,616
Proper Divisor Sum 2,338,316
Digit Sum / Digital Root 19 (Root: 1)
Adjacent Primes #1708283 ← → #1708307

Radix Representation

Decimal 1708300
Binary 110100001000100001100 (21 bits)
Octal 0o6410414
Hexadecimal 0x1A110C

Divisor Catalog (36)

1 2 4 5 10 11 20 22 25 44 50 55 100 110 220 275 550 1,100 1,553 3,106 6,212 7,765 15,530 17,083 31,060 34,166 38,825 68,332 77,650 85,415 155,300 170,830 341,660 427,075 854,150 1,708,300

Collatz Trajectory (176 steps to reach 1)

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

1,708,300 854,150 427,075 1,281,226 640,613 1,921,840 960,920 480,460 240,230 120,115 360,346 180,173 540,520 270,260 135,130 67,565 202,696 101,348 50,674 25,337 76,012 38,006 19,003 57,010 28,505 85,516 42,758 21,379 64,138 32,069 96,208 48,104 24,052 12,026 6,013 18,040 9,020 4,510 2,255 6,766 3,383 10,150 5,075 15,226 7,613 22,840 11,420 5,710 2,855 8,566 4,283 12,850 6,425 19,276 9,638 4,819 14,458 7,229 21,688 10,844

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