λ
Harmonic Matrix

1,262,307

3 × 420769
Deficient Odd Composite

1,262,307 has digital root 3. The neighboring primes are 1262299 and 1262311; its proper-divisor sum differs from the starting integer by -841,534.

Prime Factor Structure

Factorization String 3 × 420769
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 1,683,080
Proper Divisor Sum 420,773
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #1262299 ← → #1262311

Radix Representation

Decimal 1262307
Binary 100110100001011100011 (21 bits)
Octal 0o4641343
Hexadecimal 0x1342E3

Divisor Catalog (4)

1 3 420,769 1,262,307

Collatz Trajectory (67 steps to reach 1)

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

1,262,307 3,786,922 1,893,461 5,680,384 2,840,192 1,420,096 710,048 355,024 177,512 88,756 44,378 22,189 66,568 33,284 16,642 8,321 24,964 12,482 6,241 18,724 9,362 4,681 14,044 7,022 3,511 10,534 5,267 15,802 7,901 23,704 11,852 5,926 2,963 8,890 4,445 13,336 6,668 3,334 1,667 5,002 2,501 7,504 3,752 1,876 938 469 1,408 704 352 176 88 44 22 11 34 17 52 26 13 40

More profiles

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