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Atlas › Integer Profiles › Node 1,370,892

1,370,892

22 × 3 × 23 × 4967
Abundant Even Composite

1,370,892 factors as 2^2 × 3 × 23 × 4967. Its 24 positive divisors give a proper-divisor sum of 1,967,604, so this integer is abundant. The Collatz stopping time is 106 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 23 × 4967
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 3,338,496
Proper Divisor Sum 1,967,604
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #1370891 ← → #1370899

Radix Representation

Decimal 1370892
Binary 101001110101100001100 (21 bits)
Octal 0o5165414
Hexadecimal 0x14EB0C

Divisor Catalog (24)

1 2 3 4 6 12 23 46 69 92 138 276 4,967 9,934 14,901 19,868 29,802 59,604 114,241 228,482 342,723 456,964 685,446 1,370,892

Collatz Trajectory (106 steps to reach 1)

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

1,370,892 685,446 342,723 1,028,170 514,085 1,542,256 771,128 385,564 192,782 96,391 289,174 144,587 433,762 216,881 650,644 325,322 162,661 487,984 243,992 121,996 60,998 30,499 91,498 45,749 137,248 68,624 34,312 17,156 8,578 4,289 12,868 6,434 3,217 9,652 4,826 2,413 7,240 3,620 1,810 905 2,716 1,358 679 2,038 1,019 3,058 1,529 4,588 2,294 1,147 3,442 1,721 5,164 2,582 1,291 3,874 1,937 5,812 2,906 1,453

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