λ
Harmonic Matrix

2,323,415

5 × 19 × 37 × 661
Deficient Odd Composite

2,323,415 has digital root 2. The neighboring primes are 2323411 and 2323421; its proper-divisor sum differs from the starting integer by -1,628,110.

Prime Factor Structure

Factorization String 5 × 19 × 37 × 661
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 3,018,720
Proper Divisor Sum 695,305
Digit Sum / Digital Root 20 (Root: 2)
Adjacent Primes #2323411 ← → #2323421

Radix Representation

Decimal 2323415
Binary 1000110111001111010111 (22 bits)
Octal 0o10671727
Hexadecimal 0x2373D7

Divisor Catalog (16)

1 5 19 37 95 185 661 703 3,305 3,515 12,559 24,457 62,795 122,285 464,683 2,323,415

Collatz Trajectory (223 steps to reach 1)

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

2,323,415 6,970,246 3,485,123 10,455,370 5,227,685 15,683,056 7,841,528 3,920,764 1,960,382 980,191 2,940,574 1,470,287 4,410,862 2,205,431 6,616,294 3,308,147 9,924,442 4,962,221 14,886,664 7,443,332 3,721,666 1,860,833 5,582,500 2,791,250 1,395,625 4,186,876 2,093,438 1,046,719 3,140,158 1,570,079 4,710,238 2,355,119 7,065,358 3,532,679 10,598,038 5,299,019 15,897,058 7,948,529 23,845,588 11,922,794 5,961,397 17,884,192 8,942,096 4,471,048 2,235,524 1,117,762 558,881 1,676,644 838,322 419,161 1,257,484 628,742 314,371 943,114 471,557 1,414,672 707,336 353,668 176,834 88,417

More profiles

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