λ
Harmonic Matrix

7,420,190

2 × 5 × 307 × 2417
Deficient Even Composite

7,420,190 has digital root 5. The neighboring primes are 7420187 and 7420199; its proper-divisor sum differs from the starting integer by -1,434,988.

Prime Factor Structure

Factorization String 2 × 5 × 307 × 2417
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 13,405,392
Proper Divisor Sum 5,985,202
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #7420187 ← → #7420199

Radix Representation

Decimal 7420190
Binary 11100010011100100011110 (23 bits)
Octal 0o34234436
Hexadecimal 0x71391E

Divisor Catalog (16)

1 2 5 10 307 614 1,535 2,417 3,070 4,834 12,085 24,170 742,019 1,484,038 3,710,095 7,420,190

Collatz Trajectory (235 steps to reach 1)

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

7,420,190 3,710,095 11,130,286 5,565,143 16,695,430 8,347,715 25,043,146 12,521,573 37,564,720 18,782,360 9,391,180 4,695,590 2,347,795 7,043,386 3,521,693 10,565,080 5,282,540 2,641,270 1,320,635 3,961,906 1,980,953 5,942,860 2,971,430 1,485,715 4,457,146 2,228,573 6,685,720 3,342,860 1,671,430 835,715 2,507,146 1,253,573 3,760,720 1,880,360 940,180 470,090 235,045 705,136 352,568 176,284 88,142 44,071 132,214 66,107 198,322 99,161 297,484 148,742 74,371 223,114 111,557 334,672 167,336 83,668 41,834 20,917 62,752 31,376 15,688 7,844

More profiles

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