λ
Harmonic Matrix

1,332,580

22 × 5 × 66629
Abundant Even Composite

1,332,580 has digital root 4. The neighboring primes are 1332571 and 1332587; its proper-divisor sum differs from the starting integer by 133,300.

Prime Factor Structure

Factorization String 2^2 × 5 × 66629
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 2,798,460
Proper Divisor Sum 1,465,880
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #1332571 ← → #1332587

Radix Representation

Decimal 1332580
Binary 101000101010101100100 (21 bits)
Octal 0o5052544
Hexadecimal 0x145564

Divisor Catalog (12)

1 2 4 5 10 20 66,629 133,258 266,516 333,145 666,290 1,332,580

Collatz Trajectory (142 steps to reach 1)

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

1,332,580 666,290 333,145 999,436 499,718 249,859 749,578 374,789 1,124,368 562,184 281,092 140,546 70,273 210,820 105,410 52,705 158,116 79,058 39,529 118,588 59,294 29,647 88,942 44,471 133,414 66,707 200,122 100,061 300,184 150,092 75,046 37,523 112,570 56,285 168,856 84,428 42,214 21,107 63,322 31,661 94,984 47,492 23,746 11,873 35,620 17,810 8,905 26,716 13,358 6,679 20,038 10,019 30,058 15,029 45,088 22,544 11,272 5,636 2,818 1,409

More profiles

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