λ
Harmonic Matrix

7,428,857

311 × 23887
Deficient Odd Composite

7,428,857 has digital root 5. The neighboring primes are 7428833 and 7428859; its proper-divisor sum differs from the starting integer by -7,404,658.

Prime Factor Structure

Factorization String 311 × 23887
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 7,453,056
Proper Divisor Sum 24,199
Digit Sum / Digital Root 41 (Root: 5)
Adjacent Primes #7428833 ← → #7428859

Radix Representation

Decimal 7428857
Binary 11100010101101011111001 (23 bits)
Octal 0o34255371
Hexadecimal 0x715AF9

Divisor Catalog (4)

1 311 23,887 7,428,857

Collatz Trajectory (173 steps to reach 1)

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

7,428,857 22,286,572 11,143,286 5,571,643 16,714,930 8,357,465 25,072,396 12,536,198 6,268,099 18,804,298 9,402,149 28,206,448 14,103,224 7,051,612 3,525,806 1,762,903 5,288,710 2,644,355 7,933,066 3,966,533 11,899,600 5,949,800 2,974,900 1,487,450 743,725 2,231,176 1,115,588 557,794 278,897 836,692 418,346 209,173 627,520 313,760 156,880 78,440 39,220 19,610 9,805 29,416 14,708 7,354 3,677 11,032 5,516 2,758 1,379 4,138 2,069 6,208 3,104 1,552 776 388 194 97 292 146 73 220

More profiles

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