λ
Harmonic Matrix

1,242,161

23 × 53 × 1019
Deficient Odd Composite

1,242,161 has digital root 8. The neighboring primes are 1242151 and 1242167; its proper-divisor sum differs from the starting integer by -1,162,402.

Prime Factor Structure

Factorization String 23 × 53 × 1019
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 1,321,920
Proper Divisor Sum 79,759
Digit Sum / Digital Root 17 (Root: 8)
Adjacent Primes #1242151 ← → #1242167

Radix Representation

Decimal 1242161
Binary 100101111010000110001 (21 bits)
Octal 0o4572061
Hexadecimal 0x12F431

Divisor Catalog (8)

1 23 53 1,019 1,219 23,437 54,007 1,242,161

Collatz Trajectory (142 steps to reach 1)

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

1,242,161 3,726,484 1,863,242 931,621 2,794,864 1,397,432 698,716 349,358 174,679 524,038 262,019 786,058 393,029 1,179,088 589,544 294,772 147,386 73,693 221,080 110,540 55,270 27,635 82,906 41,453 124,360 62,180 31,090 15,545 46,636 23,318 11,659 34,978 17,489 52,468 26,234 13,117 39,352 19,676 9,838 4,919 14,758 7,379 22,138 11,069 33,208 16,604 8,302 4,151 12,454 6,227 18,682 9,341 28,024 14,012 7,006 3,503 10,510 5,255 15,766 7,883

More profiles

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