λ
Harmonic Matrix

2,748,515

5 × 7 × 113 × 59
Deficient Odd Composite

2,748,515 has digital root 5. The neighboring primes are 2748503 and 2748547; its proper-divisor sum differs from the starting integer by -1,280,710.

Prime Factor Structure

Factorization String 5 × 7 × 11^3 × 59
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 4,216,320
Proper Divisor Sum 1,467,805
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #2748503 ← → #2748547

Radix Representation

Decimal 2748515
Binary 1010011111000001100011 (22 bits)
Octal 0o12370143
Hexadecimal 0x29F063

Divisor Catalog (32)

1 5 7 11 35 55 59 77 121 295 385 413 605 649 847 1,331 2,065 3,245 4,235 4,543 6,655 7,139 9,317 22,715 35,695 46,585 49,973 78,529 249,865 392,645 549,703 2,748,515

Collatz Trajectory (169 steps to reach 1)

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

2,748,515 8,245,546 4,122,773 12,368,320 6,184,160 3,092,080 1,546,040 773,020 386,510 193,255 579,766 289,883 869,650 434,825 1,304,476 652,238 326,119 978,358 489,179 1,467,538 733,769 2,201,308 1,100,654 550,327 1,650,982 825,491 2,476,474 1,238,237 3,714,712 1,857,356 928,678 464,339 1,393,018 696,509 2,089,528 1,044,764 522,382 261,191 783,574 391,787 1,175,362 587,681 1,763,044 881,522 440,761 1,322,284 661,142 330,571 991,714 495,857 1,487,572 743,786 371,893 1,115,680 557,840 278,920 139,460 69,730 34,865 104,596

More profiles

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