λ
Ratio Atlas

1,377,102

2 × 3 × 17 × 23 × 587
Abundant Even Composite

1,377,102 factors as 2 × 3 × 17 × 23 × 587. Its 32 positive divisors give a proper-divisor sum of 1,671,090, so this integer is abundant. The Collatz stopping time is 186 steps.

Prime Factor Structure

Factorization String 2 × 3 × 17 × 23 × 587
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 3,048,192
Proper Divisor Sum 1,671,090
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #1377071 ← → #1377107

Radix Representation

Decimal 1377102
Binary 101010000001101001110 (21 bits)
Octal 0o5201516
Hexadecimal 0x15034E

Divisor Catalog (32)

1 2 3 6 17 23 34 46 51 69 102 138 391 587 782 1,173 1,174 1,761 2,346 3,522 9,979 13,501 19,958 27,002 29,937 40,503 59,874 81,006 229,517 459,034 688,551 1,377,102

Collatz Trajectory (186 steps to reach 1)

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

1,377,102 688,551 2,065,654 1,032,827 3,098,482 1,549,241 4,647,724 2,323,862 1,161,931 3,485,794 1,742,897 5,228,692 2,614,346 1,307,173 3,921,520 1,960,760 980,380 490,190 245,095 735,286 367,643 1,102,930 551,465 1,654,396 827,198 413,599 1,240,798 620,399 1,861,198 930,599 2,791,798 1,395,899 4,187,698 2,093,849 6,281,548 3,140,774 1,570,387 4,711,162 2,355,581 7,066,744 3,533,372 1,766,686 883,343 2,650,030 1,325,015 3,975,046 1,987,523 5,962,570 2,981,285 8,943,856 4,471,928 2,235,964 1,117,982 558,991 1,676,974 838,487 2,515,462 1,257,731 3,773,194 1,886,597

More profiles

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