λ
Harmonic Matrix

1,499,180

22 × 5 × 74959
Abundant Even Composite

1,499,180 has digital root 5. The neighboring primes are 1499167 and 1499189; its proper-divisor sum differs from the starting integer by 149,960.

Prime Factor Structure

Factorization String 2^2 × 5 × 74959
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 3,148,320
Proper Divisor Sum 1,649,140
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #1499167 ← → #1499189

Radix Representation

Decimal 1499180
Binary 101101110000000101100 (21 bits)
Octal 0o5560054
Hexadecimal 0x16E02C

Divisor Catalog (12)

1 2 4 5 10 20 74,959 149,918 299,836 374,795 749,590 1,499,180

Collatz Trajectory (137 steps to reach 1)

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

1,499,180 749,590 374,795 1,124,386 562,193 1,686,580 843,290 421,645 1,264,936 632,468 316,234 158,117 474,352 237,176 118,588 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 4,228 2,114 1,057 3,172 1,586

More profiles

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