λ
Harmonic Matrix

8,251,427

8251427
Deficient Odd Prime

8,251,427 has digital root 2. The neighboring primes are 8251421 and 8251429; its proper-divisor sum differs from the starting integer by -8,251,426.

Prime Factor Structure

Factorization String 8251427
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 8,251,428
Proper Divisor Sum 1
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #8251421 ← → #8251429

Radix Representation

Decimal 8251427
Binary 11111011110100000100011 (23 bits)
Octal 0o37364043
Hexadecimal 0x7DE823

Divisor Catalog (2)

Collatz Trajectory (212 steps to reach 1)

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

8,251,427 24,754,282 12,377,141 37,131,424 18,565,712 9,282,856 4,641,428 2,320,714 1,160,357 3,481,072 1,740,536 870,268 435,134 217,567 652,702 326,351 979,054 489,527 1,468,582 734,291 2,202,874 1,101,437 3,304,312 1,652,156 826,078 413,039 1,239,118 619,559 1,858,678 929,339 2,788,018 1,394,009 4,182,028 2,091,014 1,045,507 3,136,522 1,568,261 4,704,784 2,352,392 1,176,196 588,098 294,049 882,148 441,074 220,537 661,612 330,806 165,403 496,210 248,105 744,316 372,158 186,079 558,238 279,119 837,358 418,679 1,256,038 628,019 1,884,058

More profiles

← Previous Integer #8,251,426 Browse Full Index Next Integer #8,251,428 →