λ
Harmonic Matrix

7,184,490

2 × 3 × 5 × 71 × 3373
Abundant Even Composite

7,184,490 has digital root 6. The neighboring primes are 7184479 and 7184501; its proper-divisor sum differs from the starting integer by 3,121,836.

Prime Factor Structure

Factorization String 2 × 3 × 5 × 71 × 3373
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 17,490,816
Proper Divisor Sum 10,306,326
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #7184479 ← → #7184501

Radix Representation

Decimal 7184490
Binary 11011011010000001101010 (23 bits)
Octal 0o33320152
Hexadecimal 0x6DA06A

Divisor Catalog (32)

1 2 3 5 6 10 15 30 71 142 213 355 426 710 1,065 2,130 3,373 6,746 10,119 16,865 20,238 33,730 50,595 101,190 239,483 478,966 718,449 1,197,415 1,436,898 2,394,830 3,592,245 7,184,490

Collatz Trajectory (191 steps to reach 1)

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

7,184,490 3,592,245 10,776,736 5,388,368 2,694,184 1,347,092 673,546 336,773 1,010,320 505,160 252,580 126,290 63,145 189,436 94,718 47,359 142,078 71,039 213,118 106,559 319,678 159,839 479,518 239,759 719,278 359,639 1,078,918 539,459 1,618,378 809,189 2,427,568 1,213,784 606,892 303,446 151,723 455,170 227,585 682,756 341,378 170,689 512,068 256,034 128,017 384,052 192,026 96,013 288,040 144,020 72,010 36,005 108,016 54,008 27,004 13,502 6,751 20,254 10,127 30,382 15,191 45,574

More profiles

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