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Atlas › Integer Profiles › Node 1,146,174

1,146,174

2 × 3 × 172 × 661
Abundant Even Composite

1,146,174 factors as 2 × 3 × 17^2 × 661. Its 24 positive divisors give a proper-divisor sum of 1,292,634, so this integer is abundant. The Collatz stopping time is 222 steps.

Prime Factor Structure

Factorization String 2 × 3 × 17^2 × 661
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 2,438,808
Proper Divisor Sum 1,292,634
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #1146143 ← → #1146179

Radix Representation

Decimal 1146174
Binary 100010111110100111110 (21 bits)
Octal 0o4276476
Hexadecimal 0x117D3E

Divisor Catalog (24)

1 2 3 6 17 34 51 102 289 578 661 867 1,322 1,734 1,983 3,966 11,237 22,474 33,711 67,422 191,029 382,058 573,087 1,146,174

Collatz Trajectory (222 steps to reach 1)

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

1,146,174 573,087 1,719,262 859,631 2,578,894 1,289,447 3,868,342 1,934,171 5,802,514 2,901,257 8,703,772 4,351,886 2,175,943 6,527,830 3,263,915 9,791,746 4,895,873 14,687,620 7,343,810 3,671,905 11,015,716 5,507,858 2,753,929 8,261,788 4,130,894 2,065,447 6,196,342 3,098,171 9,294,514 4,647,257 13,941,772 6,970,886 3,485,443 10,456,330 5,228,165 15,684,496 7,842,248 3,921,124 1,960,562 980,281 2,940,844 1,470,422 735,211 2,205,634 1,102,817 3,308,452 1,654,226 827,113 2,481,340 1,240,670 620,335 1,861,006 930,503 2,791,510 1,395,755 4,187,266 2,093,633 6,280,900 3,140,450 1,570,225

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