λ
Harmonic Matrix

2,717,245

5 × 59 × 61 × 151
Deficient Odd Composite

2,717,245 has digital root 1. The neighboring primes are 2717233 and 2717249; its proper-divisor sum differs from the starting integer by -2,041,850.

Prime Factor Structure

Factorization String 5 × 59 × 61 × 151
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 3,392,640
Proper Divisor Sum 675,395
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #2717233 ← → #2717249

Radix Representation

Decimal 2717245
Binary 1010010111011000111101 (22 bits)
Octal 0o12273075
Hexadecimal 0x29763D

Divisor Catalog (16)

1 5 59 61 151 295 305 755 3,599 8,909 9,211 17,995 44,545 46,055 543,449 2,717,245

Collatz Trajectory (112 steps to reach 1)

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

2,717,245 8,151,736 4,075,868 2,037,934 1,018,967 3,056,902 1,528,451 4,585,354 2,292,677 6,878,032 3,439,016 1,719,508 859,754 429,877 1,289,632 644,816 322,408 161,204 80,602 40,301 120,904 60,452 30,226 15,113 45,340 22,670 11,335 34,006 17,003 51,010 25,505 76,516 38,258 19,129 57,388 28,694 14,347 43,042 21,521 64,564 32,282 16,141 48,424 24,212 12,106 6,053 18,160 9,080 4,540 2,270 1,135 3,406 1,703 5,110 2,555 7,666 3,833 11,500 5,750 2,875

More profiles

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