λ
Harmonic Matrix

5,942,125

53 × 7 × 6791
Deficient Odd Composite

5,942,125 has digital root 1. The neighboring primes are 5942113 and 5942137; its proper-divisor sum differs from the starting integer by -3,407,834.

Prime Factor Structure

Factorization String 5^3 × 7 × 6791
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 8,476,416
Proper Divisor Sum 2,534,291
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #5942113 ← → #5942137

Radix Representation

Decimal 5942125
Binary 10110101010101101101101 (23 bits)
Octal 0o26525555
Hexadecimal 0x5AAB6D

Divisor Catalog (16)

1 5 7 25 35 125 175 875 6,791 33,955 47,537 169,775 237,685 848,875 1,188,425 5,942,125

Collatz Trajectory (227 steps to reach 1)

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

5,942,125 17,826,376 8,913,188 4,456,594 2,228,297 6,684,892 3,342,446 1,671,223 5,013,670 2,506,835 7,520,506 3,760,253 11,280,760 5,640,380 2,820,190 1,410,095 4,230,286 2,115,143 6,345,430 3,172,715 9,518,146 4,759,073 14,277,220 7,138,610 3,569,305 10,707,916 5,353,958 2,676,979 8,030,938 4,015,469 12,046,408 6,023,204 3,011,602 1,505,801 4,517,404 2,258,702 1,129,351 3,388,054 1,694,027 5,082,082 2,541,041 7,623,124 3,811,562 1,905,781 5,717,344 2,858,672 1,429,336 714,668 357,334 178,667 536,002 268,001 804,004 402,002 201,001 603,004 301,502 150,751 452,254 226,127

More profiles

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