λ
Harmonic Matrix

7,378,017

3 × 17 × 144667
Deficient Odd Composite

7,378,017 has digital root 6. The neighboring primes are 7377989 and 7378027; its proper-divisor sum differs from the starting integer by -4,339,938.

Prime Factor Structure

Factorization String 3 × 17 × 144667
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 10,416,096
Proper Divisor Sum 3,038,079
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #7377989 ← → #7378027

Radix Representation

Decimal 7378017
Binary 11100001001010001100001 (23 bits)
Octal 0o34112141
Hexadecimal 0x709461

Divisor Catalog (8)

1 3 17 51 144,667 434,001 2,459,339 7,378,017

Collatz Trajectory (142 steps to reach 1)

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

7,378,017 22,134,052 11,067,026 5,533,513 16,600,540 8,300,270 4,150,135 12,450,406 6,225,203 18,675,610 9,337,805 28,013,416 14,006,708 7,003,354 3,501,677 10,505,032 5,252,516 2,626,258 1,313,129 3,939,388 1,969,694 984,847 2,954,542 1,477,271 4,431,814 2,215,907 6,647,722 3,323,861 9,971,584 4,985,792 2,492,896 1,246,448 623,224 311,612 155,806 77,903 233,710 116,855 350,566 175,283 525,850 262,925 788,776 394,388 197,194 98,597 295,792 147,896 73,948 36,974 18,487 55,462 27,731 83,194 41,597 124,792 62,396 31,198 15,599 46,798

More profiles

← Previous Integer #7,378,016 Browse Full Index Next Integer #7,378,018 →