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Atlas › Integer Profiles › Node 1,454,076

1,454,076

22 × 32 × 132 × 239
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 3^2 × 13^2 × 239
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 54
Divisor Sum (σ) 3,996,720
Proper Divisor Sum 2,542,644
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #1454071 ← → #1454081

Radix Representation

Decimal 1454076
Binary 101100010111111111100 (21 bits)
Octal 0o5427774
Hexadecimal 0x162FFC

Divisor Catalog (54)

1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 169 234 239 338 468 478 507 676 717 956 1,014 1,434 1,521 2,028 2,151 2,868 3,042 3,107 4,302 6,084 6,214 8,604 9,321 12,428 18,642 27,963 37,284 40,391 55,926 80,782 111,852 121,173 161,564 242,346 363,519 484,692 727,038 1,454,076

Collatz Trajectory (212 steps to reach 1)

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

1,454,076 727,038 363,519 1,090,558 545,279 1,635,838 817,919 2,453,758 1,226,879 3,680,638 1,840,319 5,520,958 2,760,479 8,281,438 4,140,719 12,422,158 6,211,079 18,633,238 9,316,619 27,949,858 13,974,929 41,924,788 20,962,394 10,481,197 31,443,592 15,721,796 7,860,898 3,930,449 11,791,348 5,895,674 2,947,837 8,843,512 4,421,756 2,210,878 1,105,439 3,316,318 1,658,159 4,974,478 2,487,239 7,461,718 3,730,859 11,192,578 5,596,289 16,788,868 8,394,434 4,197,217 12,591,652 6,295,826 3,147,913 9,443,740 4,721,870 2,360,935 7,082,806 3,541,403 10,624,210 5,312,105 15,936,316 7,968,158 3,984,079 11,952,238

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