λ
Harmonic Matrix

1,201,678

2 × 43 × 89 × 157
Deficient Even Composite

1,201,678 has digital root 7. The neighboring primes are 1201643 and 1201687; its proper-divisor sum differs from the starting integer by -526,316.

Prime Factor Structure

Factorization String 2 × 43 × 89 × 157
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 1,877,040
Proper Divisor Sum 675,362
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #1201643 ← → #1201687

Radix Representation

Decimal 1201678
Binary 100100101011000001110 (21 bits)
Octal 0o4453016
Hexadecimal 0x12560E

Divisor Catalog (16)

1 2 43 86 89 157 178 314 3,827 6,751 7,654 13,502 13,973 27,946 600,839 1,201,678

Collatz Trajectory (116 steps to reach 1)

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

1,201,678 600,839 1,802,518 901,259 2,703,778 1,351,889 4,055,668 2,027,834 1,013,917 3,041,752 1,520,876 760,438 380,219 1,140,658 570,329 1,710,988 855,494 427,747 1,283,242 641,621 1,924,864 962,432 481,216 240,608 120,304 60,152 30,076 15,038 7,519 22,558 11,279 33,838 16,919 50,758 25,379 76,138 38,069 114,208 57,104 28,552 14,276 7,138 3,569 10,708 5,354 2,677 8,032 4,016 2,008 1,004 502 251 754 377 1,132 566 283 850 425 1,276

More profiles

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