λ
Harmonic Matrix

2,366,385

3 × 5 × 7 × 31 × 727
Deficient Odd Composite

2,366,385 has digital root 6. The neighboring primes are 2366369 and 2366387; its proper-divisor sum differs from the starting integer by -259,938.

Prime Factor Structure

Factorization String 3 × 5 × 7 × 31 × 727
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 4,472,832
Proper Divisor Sum 2,106,447
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #2366369 ← → #2366387

Radix Representation

Decimal 2366385
Binary 1001000001101110110001 (22 bits)
Octal 0o11015661
Hexadecimal 0x241BB1

Divisor Catalog (32)

1 3 5 7 15 21 31 35 93 105 155 217 465 651 727 1,085 2,181 3,255 3,635 5,089 10,905 15,267 22,537 25,445 67,611 76,335 112,685 157,759 338,055 473,277 788,795 2,366,385

Collatz Trajectory (223 steps to reach 1)

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

2,366,385 7,099,156 3,549,578 1,774,789 5,324,368 2,662,184 1,331,092 665,546 332,773 998,320 499,160 249,580 124,790 62,395 187,186 93,593 280,780 140,390 70,195 210,586 105,293 315,880 157,940 78,970 39,485 118,456 59,228 29,614 14,807 44,422 22,211 66,634 33,317 99,952 49,976 24,988 12,494 6,247 18,742 9,371 28,114 14,057 42,172 21,086 10,543 31,630 15,815 47,446 23,723 71,170 35,585 106,756 53,378 26,689 80,068 40,034 20,017 60,052 30,026 15,013

More profiles

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