λ
Match Zalai

6,410,102

2 × 292 × 37 × 103
Deficient Even Composite

6,410,102 factors as 2 × 29^2 × 37 × 103. Its 24 positive divisors give a proper-divisor sum of 3,916,474, so this integer is deficient. The Collatz stopping time is 95 steps.

Prime Factor Structure

Factorization String 2 × 29^2 × 37 × 103
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 10,326,576
Proper Divisor Sum 3,916,474
Digit Sum / Digital Root 14 (Root: 5)
Adjacent Primes #6410081 ← → #6410111

Radix Representation

Decimal 6410102
Binary 11000011100111101110110 (23 bits)
Octal 0o30347566
Hexadecimal 0x61CF76

Divisor Catalog (24)

1 2 29 37 58 74 103 206 841 1,073 1,682 2,146 2,987 3,811 5,974 7,622 31,117 62,234 86,623 110,519 173,246 221,038 3,205,051 6,410,102

Collatz Trajectory (95 steps to reach 1)

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

6,410,102 3,205,051 9,615,154 4,807,577 14,422,732 7,211,366 3,605,683 10,817,050 5,408,525 16,225,576 8,112,788 4,056,394 2,028,197 6,084,592 3,042,296 1,521,148 760,574 380,287 1,140,862 570,431 1,711,294 855,647 2,566,942 1,283,471 3,850,414 1,925,207 5,775,622 2,887,811 8,663,434 4,331,717 12,995,152 6,497,576 3,248,788 1,624,394 812,197 2,436,592 1,218,296 609,148 304,574 152,287 456,862 228,431 685,294 342,647 1,027,942 513,971 1,541,914 770,957 2,312,872 1,156,436 578,218 289,109 867,328 433,664 216,832 108,416 54,208 27,104 13,552 6,776

More profiles

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