λ
Harmonic Matrix

6,131,735

5 × 1226347
Deficient Odd Composite

6,131,735 has digital root 8. The neighboring primes are 6131683 and 6131753; its proper-divisor sum differs from the starting integer by -4,905,382.

Prime Factor Structure

Factorization String 5 × 1226347
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 7,358,088
Proper Divisor Sum 1,226,353
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #6131683 ← → #6131753

Radix Representation

Decimal 6131735
Binary 10111011001000000010111 (23 bits)
Octal 0o27310027
Hexadecimal 0x5D9017

Divisor Catalog (4)

1 5 1,226,347 6,131,735

Collatz Trajectory (227 steps to reach 1)

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

6,131,735 18,395,206 9,197,603 27,592,810 13,796,405 41,389,216 20,694,608 10,347,304 5,173,652 2,586,826 1,293,413 3,880,240 1,940,120 970,060 485,030 242,515 727,546 363,773 1,091,320 545,660 272,830 136,415 409,246 204,623 613,870 306,935 920,806 460,403 1,381,210 690,605 2,071,816 1,035,908 517,954 258,977 776,932 388,466 194,233 582,700 291,350 145,675 437,026 218,513 655,540 327,770 163,885 491,656 245,828 122,914 61,457 184,372 92,186 46,093 138,280 69,140 34,570 17,285 51,856 25,928 12,964 6,482

More profiles

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