λ
Harmonic Matrix

3,856,455

32 × 5 × 43 × 1993
Deficient Odd Composite

3,856,455 has digital root 9. The neighboring primes are 3856451 and 3856469; its proper-divisor sum differs from the starting integer by -869,502.

Prime Factor Structure

Factorization String 3^2 × 5 × 43 × 1993
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 6,843,408
Proper Divisor Sum 2,986,953
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #3856451 ← → #3856469

Radix Representation

Decimal 3856455
Binary 1110101101100001000111 (22 bits)
Octal 0o16554107
Hexadecimal 0x3AD847

Divisor Catalog (24)

1 3 5 9 15 43 45 129 215 387 645 1,935 1,993 5,979 9,965 17,937 29,895 85,699 89,685 257,097 428,495 771,291 1,285,485 3,856,455

Collatz Trajectory (229 steps to reach 1)

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

3,856,455 11,569,366 5,784,683 17,354,050 8,677,025 26,031,076 13,015,538 6,507,769 19,523,308 9,761,654 4,880,827 14,642,482 7,321,241 21,963,724 10,981,862 5,490,931 16,472,794 8,236,397 24,709,192 12,354,596 6,177,298 3,088,649 9,265,948 4,632,974 2,316,487 6,949,462 3,474,731 10,424,194 5,212,097 15,636,292 7,818,146 3,909,073 11,727,220 5,863,610 2,931,805 8,795,416 4,397,708 2,198,854 1,099,427 3,298,282 1,649,141 4,947,424 2,473,712 1,236,856 618,428 309,214 154,607 463,822 231,911 695,734 347,867 1,043,602 521,801 1,565,404 782,702 391,351 1,174,054 587,027 1,761,082 880,541

More profiles

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