λ
Harmonic Matrix

3,647,307

3 × 1215769
Deficient Odd Composite

3,647,307 has digital root 3. The neighboring primes are 3647291 and 3647327; its proper-divisor sum differs from the starting integer by -2,431,534.

Prime Factor Structure

Factorization String 3 × 1215769
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 4,863,080
Proper Divisor Sum 1,215,773
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #3647291 ← → #3647327

Radix Representation

Decimal 3647307
Binary 1101111010011101001011 (22 bits)
Octal 0o15723513
Hexadecimal 0x37A74B

Divisor Catalog (4)

1 3 1,215,769 3,647,307

Collatz Trajectory (110 steps to reach 1)

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

3,647,307 10,941,922 5,470,961 16,412,884 8,206,442 4,103,221 12,309,664 6,154,832 3,077,416 1,538,708 769,354 384,677 1,154,032 577,016 288,508 144,254 72,127 216,382 108,191 324,574 162,287 486,862 243,431 730,294 365,147 1,095,442 547,721 1,643,164 821,582 410,791 1,232,374 616,187 1,848,562 924,281 2,772,844 1,386,422 693,211 2,079,634 1,039,817 3,119,452 1,559,726 779,863 2,339,590 1,169,795 3,509,386 1,754,693 5,264,080 2,632,040 1,316,020 658,010 329,005 987,016 493,508 246,754 123,377 370,132 185,066 92,533 277,600 138,800

More profiles

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