λ
Harmonic Matrix

7,845,267

3 × 2615089
Deficient Odd Composite

7,845,267 has digital root 3. The neighboring primes are 7845259 and 7845269; its proper-divisor sum differs from the starting integer by -5,230,174.

Prime Factor Structure

Factorization String 3 × 2615089
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 10,460,360
Proper Divisor Sum 2,615,093
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #7845259 ← → #7845269

Radix Representation

Decimal 7845267
Binary 11101111011010110010011 (23 bits)
Octal 0o35732623
Hexadecimal 0x77B593

Divisor Catalog (4)

1 3 2,615,089 7,845,267

Collatz Trajectory (186 steps to reach 1)

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

7,845,267 23,535,802 11,767,901 35,303,704 17,651,852 8,825,926 4,412,963 13,238,890 6,619,445 19,858,336 9,929,168 4,964,584 2,482,292 1,241,146 620,573 1,861,720 930,860 465,430 232,715 698,146 349,073 1,047,220 523,610 261,805 785,416 392,708 196,354 98,177 294,532 147,266 73,633 220,900 110,450 55,225 165,676 82,838 41,419 124,258 62,129 186,388 93,194 46,597 139,792 69,896 34,948 17,474 8,737 26,212 13,106 6,553 19,660 9,830 4,915 14,746 7,373 22,120 11,060 5,530 2,765 8,296

More profiles

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