λ
Harmonic Matrix

8,042,231

59 × 136309
Deficient Odd Composite

8,042,231 has digital root 2. The neighboring primes are 8042213 and 8042239; its proper-divisor sum differs from the starting integer by -7,905,862.

Prime Factor Structure

Factorization String 59 × 136309
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 8,178,600
Proper Divisor Sum 136,369
Digit Sum / Digital Root 20 (Root: 2)
Adjacent Primes #8042213 ← → #8042239

Radix Representation

Decimal 8042231
Binary 11110101011011011110111 (23 bits)
Octal 0o36533367
Hexadecimal 0x7AB6F7

Divisor Catalog (4)

1 59 136,309 8,042,231

Collatz Trajectory (142 steps to reach 1)

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

8,042,231 24,126,694 12,063,347 36,190,042 18,095,021 54,285,064 27,142,532 13,571,266 6,785,633 20,356,900 10,178,450 5,089,225 15,267,676 7,633,838 3,816,919 11,450,758 5,725,379 17,176,138 8,588,069 25,764,208 12,882,104 6,441,052 3,220,526 1,610,263 4,830,790 2,415,395 7,246,186 3,623,093 10,869,280 5,434,640 2,717,320 1,358,660 679,330 339,665 1,018,996 509,498 254,749 764,248 382,124 191,062 95,531 286,594 143,297 429,892 214,946 107,473 322,420 161,210 80,605 241,816 120,908 60,454 30,227 90,682 45,341 136,024 68,012 34,006 17,003 51,010

More profiles

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