λ
Harmonic Matrix

2,607,215

5 × 13 × 40111
Deficient Odd Composite

2,607,215 has digital root 5. The neighboring primes are 2607181 and 2607217; its proper-divisor sum differs from the starting integer by -1,845,022.

Prime Factor Structure

Factorization String 5 × 13 × 40111
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 3,369,408
Proper Divisor Sum 762,193
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #2607181 ← → #2607217

Radix Representation

Decimal 2607215
Binary 1001111100100001101111 (22 bits)
Octal 0o11744157
Hexadecimal 0x27C86F

Divisor Catalog (8)

1 5 13 65 40,111 200,555 521,443 2,607,215

Collatz Trajectory (249 steps to reach 1)

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

2,607,215 7,821,646 3,910,823 11,732,470 5,866,235 17,598,706 8,799,353 26,398,060 13,199,030 6,599,515 19,798,546 9,899,273 29,697,820 14,848,910 7,424,455 22,273,366 11,136,683 33,410,050 16,705,025 50,115,076 25,057,538 12,528,769 37,586,308 18,793,154 9,396,577 28,189,732 14,094,866 7,047,433 21,142,300 10,571,150 5,285,575 15,856,726 7,928,363 23,785,090 11,892,545 35,677,636 17,838,818 8,919,409 26,758,228 13,379,114 6,689,557 20,068,672 10,034,336 5,017,168 2,508,584 1,254,292 627,146 313,573 940,720 470,360 235,180 117,590 58,795 176,386 88,193 264,580 132,290 66,145 198,436 99,218

More profiles

← Previous Integer #2,607,214 Browse Full Index Next Integer #2,607,216 →