λ
Harmonic Matrix

7,941,427

13 × 610879
Deficient Odd Composite

7,941,427 has digital root 7. The neighboring primes are 7941419 and 7941457; its proper-divisor sum differs from the starting integer by -7,330,534.

Prime Factor Structure

Factorization String 13 × 610879
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 8,552,320
Proper Divisor Sum 610,893
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #7941419 ← → #7941457

Radix Representation

Decimal 7941427
Binary 11110010010110100110011 (23 bits)
Octal 0o36226463
Hexadecimal 0x792D33

Divisor Catalog (4)

1 13 610,879 7,941,427

Collatz Trajectory (292 steps to reach 1)

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

7,941,427 23,824,282 11,912,141 35,736,424 17,868,212 8,934,106 4,467,053 13,401,160 6,700,580 3,350,290 1,675,145 5,025,436 2,512,718 1,256,359 3,769,078 1,884,539 5,653,618 2,826,809 8,480,428 4,240,214 2,120,107 6,360,322 3,180,161 9,540,484 4,770,242 2,385,121 7,155,364 3,577,682 1,788,841 5,366,524 2,683,262 1,341,631 4,024,894 2,012,447 6,037,342 3,018,671 9,056,014 4,528,007 13,584,022 6,792,011 20,376,034 10,188,017 30,564,052 15,282,026 7,641,013 22,923,040 11,461,520 5,730,760 2,865,380 1,432,690 716,345 2,149,036 1,074,518 537,259 1,611,778 805,889 2,417,668 1,208,834 604,417 1,813,252

More profiles

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