λ
Harmonic Matrix

2,501,178

2 × 3 × 443 × 941
Abundant Even Composite

2,501,178 has digital root 6. The neighboring primes are 2501171 and 2501189; its proper-divisor sum differs from the starting integer by 16,620.

Prime Factor Structure

Factorization String 2 × 3 × 443 × 941
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 5,018,976
Proper Divisor Sum 2,517,798
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #2501171 ← → #2501189

Radix Representation

Decimal 2501178
Binary 1001100010101000111010 (22 bits)
Octal 0o11425072
Hexadecimal 0x262A3A

Divisor Catalog (16)

1 2 3 6 443 886 941 1,329 1,882 2,658 2,823 5,646 416,863 833,726 1,250,589 2,501,178

Collatz Trajectory (112 steps to reach 1)

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

2,501,178 1,250,589 3,751,768 1,875,884 937,942 468,971 1,406,914 703,457 2,110,372 1,055,186 527,593 1,582,780 791,390 395,695 1,187,086 593,543 1,780,630 890,315 2,670,946 1,335,473 4,006,420 2,003,210 1,001,605 3,004,816 1,502,408 751,204 375,602 187,801 563,404 281,702 140,851 422,554 211,277 633,832 316,916 158,458 79,229 237,688 118,844 59,422 29,711 89,134 44,567 133,702 66,851 200,554 100,277 300,832 150,416 75,208 37,604 18,802 9,401 28,204 14,102 7,051 21,154 10,577 31,732 15,866

More profiles

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