λ
Harmonic Matrix

1,237,791

3 × 23 × 17939
Deficient Odd Composite

1,237,791 has digital root 3. The neighboring primes are 1237783 and 1237813; its proper-divisor sum differs from the starting integer by -753,342.

Prime Factor Structure

Factorization String 3 × 23 × 17939
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 1,722,240
Proper Divisor Sum 484,449
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #1237783 ← → #1237813

Radix Representation

Decimal 1237791
Binary 100101110001100011111 (21 bits)
Octal 0o4561437
Hexadecimal 0x12E31F

Divisor Catalog (8)

1 3 23 69 17,939 53,817 412,597 1,237,791

Collatz Trajectory (142 steps to reach 1)

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

1,237,791 3,713,374 1,856,687 5,570,062 2,785,031 8,355,094 4,177,547 12,532,642 6,266,321 18,798,964 9,399,482 4,699,741 14,099,224 7,049,612 3,524,806 1,762,403 5,287,210 2,643,605 7,930,816 3,965,408 1,982,704 991,352 495,676 247,838 123,919 371,758 185,879 557,638 278,819 836,458 418,229 1,254,688 627,344 313,672 156,836 78,418 39,209 117,628 58,814 29,407 88,222 44,111 132,334 66,167 198,502 99,251 297,754 148,877 446,632 223,316 111,658 55,829 167,488 83,744 41,872 20,936 10,468 5,234 2,617 7,852

More profiles

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