λ
Harmonic Matrix

3,607,313

43 × 83891
Deficient Odd Composite

3,607,313 has digital root 5. The neighboring primes are 3607309 and 3607327; its proper-divisor sum differs from the starting integer by -3,523,378.

Prime Factor Structure

Factorization String 43 × 83891
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 3,691,248
Proper Divisor Sum 83,935
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #3607309 ← → #3607327

Radix Representation

Decimal 3607313
Binary 1101110000101100010001 (22 bits)
Octal 0o15605421
Hexadecimal 0x370B11

Divisor Catalog (4)

1 43 83,891 3,607,313

Collatz Trajectory (71 steps to reach 1)

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

3,607,313 10,821,940 5,410,970 2,705,485 8,116,456 4,058,228 2,029,114 1,014,557 3,043,672 1,521,836 760,918 380,459 1,141,378 570,689 1,712,068 856,034 428,017 1,284,052 642,026 321,013 963,040 481,520 240,760 120,380 60,190 30,095 90,286 45,143 135,430 67,715 203,146 101,573 304,720 152,360 76,180 38,090 19,045 57,136 28,568 14,284 7,142 3,571 10,714 5,357 16,072 8,036 4,018 2,009 6,028 3,014 1,507 4,522 2,261 6,784 3,392 1,696 848 424 212 106

More profiles

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