λ
Harmonic Matrix

2,175,080

23 × 5 × 54377
Abundant Even Composite

2,175,080 has digital root 5. The neighboring primes are 2175079 and 2175083; its proper-divisor sum differs from the starting integer by 543,860.

Prime Factor Structure

Factorization String 2^3 × 5 × 54377
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 4,894,020
Proper Divisor Sum 2,718,940
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #2175079 ← → #2175083

Radix Representation

Decimal 2175080
Binary 1000010011000001101000 (22 bits)
Octal 0o10230150
Hexadecimal 0x213068

Divisor Catalog (16)

1 2 4 5 8 10 20 40 54,377 108,754 217,508 271,885 435,016 543,770 1,087,540 2,175,080

Collatz Trajectory (91 steps to reach 1)

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

2,175,080 1,087,540 543,770 271,885 815,656 407,828 203,914 101,957 305,872 152,936 76,468 38,234 19,117 57,352 28,676 14,338 7,169 21,508 10,754 5,377 16,132 8,066 4,033 12,100 6,050 3,025 9,076 4,538 2,269 6,808 3,404 1,702 851 2,554 1,277 3,832 1,916 958 479 1,438 719 2,158 1,079 3,238 1,619 4,858 2,429 7,288 3,644 1,822 911 2,734 1,367 4,102 2,051 6,154 3,077 9,232 4,616 2,308

More profiles

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