λ
Harmonic Matrix

4,364,007

3 × 29 × 103 × 487
Deficient Odd Composite

4,364,007 has digital root 6. The neighboring primes are 4363981 and 4364011; its proper-divisor sum differs from the starting integer by -2,637,774.

Prime Factor Structure

Factorization String 3 × 29 × 103 × 487
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 6,090,240
Proper Divisor Sum 1,726,233
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #4363981 ← → #4364011

Radix Representation

Decimal 4364007
Binary 10000101001011011100111 (23 bits)
Octal 0o20513347
Hexadecimal 0x4296E7

Divisor Catalog (16)

1 3 29 87 103 309 487 1,461 2,987 8,961 14,123 42,369 50,161 150,483 1,454,669 4,364,007

Collatz Trajectory (273 steps to reach 1)

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

4,364,007 13,092,022 6,546,011 19,638,034 9,819,017 29,457,052 14,728,526 7,364,263 22,092,790 11,046,395 33,139,186 16,569,593 49,708,780 24,854,390 12,427,195 37,281,586 18,640,793 55,922,380 27,961,190 13,980,595 41,941,786 20,970,893 62,912,680 31,456,340 15,728,170 7,864,085 23,592,256 11,796,128 5,898,064 2,949,032 1,474,516 737,258 368,629 1,105,888 552,944 276,472 138,236 69,118 34,559 103,678 51,839 155,518 77,759 233,278 116,639 349,918 174,959 524,878 262,439 787,318 393,659 1,180,978 590,489 1,771,468 885,734 442,867 1,328,602 664,301 1,992,904 996,452

More profiles

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