λ
Harmonic Matrix

2,672,047

7 × 89 × 4289
Deficient Odd Composite

2,672,047 has digital root 1. The neighboring primes are 2672039 and 2672053; its proper-divisor sum differs from the starting integer by -2,255,294.

Prime Factor Structure

Factorization String 7 × 89 × 4289
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 3,088,800
Proper Divisor Sum 416,753
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #2672039 ← → #2672053

Radix Representation

Decimal 2672047
Binary 1010001100010110101111 (22 bits)
Octal 0o12142657
Hexadecimal 0x28C5AF

Divisor Catalog (8)

1 7 89 623 4,289 30,023 381,721 2,672,047

Collatz Trajectory (94 steps to reach 1)

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

2,672,047 8,016,142 4,008,071 12,024,214 6,012,107 18,036,322 9,018,161 27,054,484 13,527,242 6,763,621 20,290,864 10,145,432 5,072,716 2,536,358 1,268,179 3,804,538 1,902,269 5,706,808 2,853,404 1,426,702 713,351 2,140,054 1,070,027 3,210,082 1,605,041 4,815,124 2,407,562 1,203,781 3,611,344 1,805,672 902,836 451,418 225,709 677,128 338,564 169,282 84,641 253,924 126,962 63,481 190,444 95,222 47,611 142,834 71,417 214,252 107,126 53,563 160,690 80,345 241,036 120,518 60,259 180,778 90,389 271,168 135,584 67,792 33,896 16,948

More profiles

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