λ
Harmonic Matrix

1,387,160

23 × 5 × 34679
Abundant Even Composite

1,387,160 has digital root 8. The neighboring primes are 1387151 and 1387163; its proper-divisor sum differs from the starting integer by 346,880.

Prime Factor Structure

Factorization String 2^3 × 5 × 34679
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 3,121,200
Proper Divisor Sum 1,734,040
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #1387151 ← → #1387163

Radix Representation

Decimal 1387160
Binary 101010010101010011000 (21 bits)
Octal 0o5225230
Hexadecimal 0x152A98

Divisor Catalog (16)

1 2 4 5 8 10 20 40 34,679 69,358 138,716 173,395 277,432 346,790 693,580 1,387,160

Collatz Trajectory (93 steps to reach 1)

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

1,387,160 693,580 346,790 173,395 520,186 260,093 780,280 390,140 195,070 97,535 292,606 146,303 438,910 219,455 658,366 329,183 987,550 493,775 1,481,326 740,663 2,221,990 1,110,995 3,332,986 1,666,493 4,999,480 2,499,740 1,249,870 624,935 1,874,806 937,403 2,812,210 1,406,105 4,218,316 2,109,158 1,054,579 3,163,738 1,581,869 4,745,608 2,372,804 1,186,402 593,201 1,779,604 889,802 444,901 1,334,704 667,352 333,676 166,838 83,419 250,258 125,129 375,388 187,694 93,847 281,542 140,771 422,314 211,157 633,472 316,736

More profiles

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