λ
Harmonic Matrix

7,361,694

2 × 32 × 31 × 79 × 167
Abundant Even Composite

7,361,694 has digital root 9. The neighboring primes are 7361677 and 7361699; its proper-divisor sum differs from the starting integer by 2,049,732.

Prime Factor Structure

Factorization String 2 × 3^2 × 31 × 79 × 167
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 16,773,120
Proper Divisor Sum 9,411,426
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #7361677 ← → #7361699

Radix Representation

Decimal 7361694
Binary 11100000101010010011110 (23 bits)
Octal 0o34052236
Hexadecimal 0x70549E

Divisor Catalog (48)

1 2 3 6 9 18 31 62 79 93 158 167 186 237 279 334 474 501 558 711 1,002 1,422 1,503 2,449 3,006 4,898 5,177 7,347 10,354 13,193 14,694 15,531 22,041 26,386 31,062 39,579 44,082 46,593 79,158 93,186 118,737 237,474 408,983 817,966 1,226,949 2,453,898 3,680,847 7,361,694

Collatz Trajectory (98 steps to reach 1)

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

7,361,694 3,680,847 11,042,542 5,521,271 16,563,814 8,281,907 24,845,722 12,422,861 37,268,584 18,634,292 9,317,146 4,658,573 13,975,720 6,987,860 3,493,930 1,746,965 5,240,896 2,620,448 1,310,224 655,112 327,556 163,778 81,889 245,668 122,834 61,417 184,252 92,126 46,063 138,190 69,095 207,286 103,643 310,930 155,465 466,396 233,198 116,599 349,798 174,899 524,698 262,349 787,048 393,524 196,762 98,381 295,144 147,572 73,786 36,893 110,680 55,340 27,670 13,835 41,506 20,753 62,260 31,130 15,565 46,696

More profiles

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