λ
Harmonic Matrix

7,646,594

2 × 61 × 233 × 269
Deficient Even Composite

7,646,594 has digital root 5. The neighboring primes are 7646581 and 7646621; its proper-divisor sum differs from the starting integer by -3,541,708.

Prime Factor Structure

Factorization String 2 × 61 × 233 × 269
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 11,751,480
Proper Divisor Sum 4,104,886
Digit Sum / Digital Root 41 (Root: 5)
Adjacent Primes #7646581 ← → #7646621

Radix Representation

Decimal 7646594
Binary 11101001010110110000010 (23 bits)
Octal 0o35126602
Hexadecimal 0x74AD82

Divisor Catalog (16)

1 2 61 122 233 269 466 538 14,213 16,409 28,426 32,818 62,677 125,354 3,823,297 7,646,594

Collatz Trajectory (173 steps to reach 1)

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

7,646,594 3,823,297 11,469,892 5,734,946 2,867,473 8,602,420 4,301,210 2,150,605 6,451,816 3,225,908 1,612,954 806,477 2,419,432 1,209,716 604,858 302,429 907,288 453,644 226,822 113,411 340,234 170,117 510,352 255,176 127,588 63,794 31,897 95,692 47,846 23,923 71,770 35,885 107,656 53,828 26,914 13,457 40,372 20,186 10,093 30,280 15,140 7,570 3,785 11,356 5,678 2,839 8,518 4,259 12,778 6,389 19,168 9,584 4,792 2,396 1,198 599 1,798 899 2,698 1,349

More profiles

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