λ
Harmonic Matrix

1,502,670

2 × 3 × 5 × 13 × 3853
Abundant Even Composite

1,502,670 has digital root 3. The neighboring primes are 1502651 and 1502687; its proper-divisor sum differs from the starting integer by 879,492.

Prime Factor Structure

Factorization String 2 × 3 × 5 × 13 × 3853
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 3,884,832
Proper Divisor Sum 2,382,162
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #1502651 ← → #1502687

Radix Representation

Decimal 1502670
Binary 101101110110111001110 (21 bits)
Octal 0o5566716
Hexadecimal 0x16EDCE

Divisor Catalog (32)

1 2 3 5 6 10 13 15 26 30 39 65 78 130 195 390 3,853 7,706 11,559 19,265 23,118 38,530 50,089 57,795 100,178 115,590 150,267 250,445 300,534 500,890 751,335 1,502,670

Collatz Trajectory (111 steps to reach 1)

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

1,502,670 751,335 2,254,006 1,127,003 3,381,010 1,690,505 5,071,516 2,535,758 1,267,879 3,803,638 1,901,819 5,705,458 2,852,729 8,558,188 4,279,094 2,139,547 6,418,642 3,209,321 9,627,964 4,813,982 2,406,991 7,220,974 3,610,487 10,831,462 5,415,731 16,247,194 8,123,597 24,370,792 12,185,396 6,092,698 3,046,349 9,139,048 4,569,524 2,284,762 1,142,381 3,427,144 1,713,572 856,786 428,393 1,285,180 642,590 321,295 963,886 481,943 1,445,830 722,915 2,168,746 1,084,373 3,253,120 1,626,560 813,280 406,640 203,320 101,660 50,830 25,415 76,246 38,123 114,370 57,185

More profiles

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