λ
Harmonic Matrix

7,417,390

2 × 5 × 37 × 20047
Deficient Even Composite

7,417,390 has digital root 4. The neighboring primes are 7417373 and 7417393; its proper-divisor sum differs from the starting integer by -1,121,948.

Prime Factor Structure

Factorization String 2 × 5 × 37 × 20047
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 13,712,832
Proper Divisor Sum 6,295,442
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #7417373 ← → #7417393

Radix Representation

Decimal 7417390
Binary 11100010010111000101110 (23 bits)
Octal 0o34227056
Hexadecimal 0x712E2E

Divisor Catalog (16)

1 2 5 10 37 74 185 370 20,047 40,094 100,235 200,470 741,739 1,483,478 3,708,695 7,417,390

Collatz Trajectory (248 steps to reach 1)

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

7,417,390 3,708,695 11,126,086 5,563,043 16,689,130 8,344,565 25,033,696 12,516,848 6,258,424 3,129,212 1,564,606 782,303 2,346,910 1,173,455 3,520,366 1,760,183 5,280,550 2,640,275 7,920,826 3,960,413 11,881,240 5,940,620 2,970,310 1,485,155 4,455,466 2,227,733 6,683,200 3,341,600 1,670,800 835,400 417,700 208,850 104,425 313,276 156,638 78,319 234,958 117,479 352,438 176,219 528,658 264,329 792,988 396,494 198,247 594,742 297,371 892,114 446,057 1,338,172 669,086 334,543 1,003,630 501,815 1,505,446 752,723 2,258,170 1,129,085 3,387,256 1,693,628

More profiles

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