λ
Harmonic Matrix

7,353,645

3 × 5 × 13 × 43 × 877
Deficient Odd Composite

7,353,645 has digital root 6. The neighboring primes are 7353641 and 7353659; its proper-divisor sum differs from the starting integer by -1,726,938.

Prime Factor Structure

Factorization String 3 × 5 × 13 × 43 × 877
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 12,980,352
Proper Divisor Sum 5,626,707
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #7353641 ← → #7353659

Radix Representation

Decimal 7353645
Binary 11100000011010100101101 (23 bits)
Octal 0o34032455
Hexadecimal 0x70352D

Divisor Catalog (32)

1 3 5 13 15 39 43 65 129 195 215 559 645 877 1,677 2,631 2,795 4,385 8,385 11,401 13,155 34,203 37,711 57,005 113,133 171,015 188,555 490,243 565,665 1,470,729 2,451,215 7,353,645

Collatz Trajectory (310 steps to reach 1)

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

7,353,645 22,060,936 11,030,468 5,515,234 2,757,617 8,272,852 4,136,426 2,068,213 6,204,640 3,102,320 1,551,160 775,580 387,790 193,895 581,686 290,843 872,530 436,265 1,308,796 654,398 327,199 981,598 490,799 1,472,398 736,199 2,208,598 1,104,299 3,312,898 1,656,449 4,969,348 2,484,674 1,242,337 3,727,012 1,863,506 931,753 2,795,260 1,397,630 698,815 2,096,446 1,048,223 3,144,670 1,572,335 4,717,006 2,358,503 7,075,510 3,537,755 10,613,266 5,306,633 15,919,900 7,959,950 3,979,975 11,939,926 5,969,963 17,909,890 8,954,945 26,864,836 13,432,418 6,716,209 20,148,628 10,074,314

More profiles

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