λ
Harmonic Matrix

4,970,001

3 × 17 × 19 × 23 × 223
Deficient Odd Composite

4,970,001 has digital root 3. The neighboring primes are 4969997 and 4970029; its proper-divisor sum differs from the starting integer by -2,198,562.

Prime Factor Structure

Factorization String 3 × 17 × 19 × 23 × 223
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 7,741,440
Proper Divisor Sum 2,771,439
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #4969997 ← → #4970029

Radix Representation

Decimal 4970001
Binary 10010111101011000010001 (23 bits)
Octal 0o22753021
Hexadecimal 0x4BD611

Divisor Catalog (32)

1 3 17 19 23 51 57 69 223 323 391 437 669 969 1,173 1,311 3,791 4,237 5,129 7,429 11,373 12,711 15,387 22,287 72,029 87,193 97,451 216,087 261,579 292,353 1,656,667 4,970,001

Collatz Trajectory (175 steps to reach 1)

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

4,970,001 14,910,004 7,455,002 3,727,501 11,182,504 5,591,252 2,795,626 1,397,813 4,193,440 2,096,720 1,048,360 524,180 262,090 131,045 393,136 196,568 98,284 49,142 24,571 73,714 36,857 110,572 55,286 27,643 82,930 41,465 124,396 62,198 31,099 93,298 46,649 139,948 69,974 34,987 104,962 52,481 157,444 78,722 39,361 118,084 59,042 29,521 88,564 44,282 22,141 66,424 33,212 16,606 8,303 24,910 12,455 37,366 18,683 56,050 28,025 84,076 42,038 21,019 63,058 31,529

More profiles

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