λ
Harmonic Matrix

4,742,817

3 × 47 × 33637
Deficient Odd Composite

4,742,817 has digital root 6. The neighboring primes are 4742809 and 4742821; its proper-divisor sum differs from the starting integer by -3,027,138.

Prime Factor Structure

Factorization String 3 × 47 × 33637
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 6,458,496
Proper Divisor Sum 1,715,679
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #4742809 ← → #4742821

Radix Representation

Decimal 4742817
Binary 10010000101111010100001 (23 bits)
Octal 0o22057241
Hexadecimal 0x485EA1

Divisor Catalog (8)

1 3 47 141 33,637 100,911 1,580,939 4,742,817

Collatz Trajectory (162 steps to reach 1)

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

4,742,817 14,228,452 7,114,226 3,557,113 10,671,340 5,335,670 2,667,835 8,003,506 4,001,753 12,005,260 6,002,630 3,001,315 9,003,946 4,501,973 13,505,920 6,752,960 3,376,480 1,688,240 844,120 422,060 211,030 105,515 316,546 158,273 474,820 237,410 118,705 356,116 178,058 89,029 267,088 133,544 66,772 33,386 16,693 50,080 25,040 12,520 6,260 3,130 1,565 4,696 2,348 1,174 587 1,762 881 2,644 1,322 661 1,984 992 496 248 124 62 31 94 47 142

More profiles

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