λ
Harmonic Matrix

8,134,927

31 × 397 × 661
Deficient Odd Composite

8,134,927 has digital root 7. The neighboring primes are 8134897 and 8134943; its proper-divisor sum differs from the starting integer by -7,838,622.

Prime Factor Structure

Factorization String 31 × 397 × 661
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 8,431,232
Proper Divisor Sum 296,305
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #8134897 ← → #8134943

Radix Representation

Decimal 8134927
Binary 11111000010000100001111 (23 bits)
Octal 0o37020417
Hexadecimal 0x7C210F

Divisor Catalog (8)

1 31 397 661 12,307 20,491 262,417 8,134,927

Collatz Trajectory (111 steps to reach 1)

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

8,134,927 24,404,782 12,202,391 36,607,174 18,303,587 54,910,762 27,455,381 82,366,144 41,183,072 20,591,536 10,295,768 5,147,884 2,573,942 1,286,971 3,860,914 1,930,457 5,791,372 2,895,686 1,447,843 4,343,530 2,171,765 6,515,296 3,257,648 1,628,824 814,412 407,206 203,603 610,810 305,405 916,216 458,108 229,054 114,527 343,582 171,791 515,374 257,687 773,062 386,531 1,159,594 579,797 1,739,392 869,696 434,848 217,424 108,712 54,356 27,178 13,589 40,768 20,384 10,192 5,096 2,548 1,274 637 1,912 956 478 239

More profiles

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