λ
Harmonic Matrix

3,525,937

3525937
Deficient Odd Prime

3,525,937 has digital root 7. The neighboring primes are 3525911 and 3525941; its proper-divisor sum differs from the starting integer by -3,525,936.

Prime Factor Structure

Factorization String 3525937
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 3,525,938
Proper Divisor Sum 1
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #3525911 ← → #3525941

Radix Representation

Decimal 3525937
Binary 1101011100110100110001 (22 bits)
Octal 0o15346461
Hexadecimal 0x35CD31

Divisor Catalog (2)

Collatz Trajectory (296 steps to reach 1)

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

3,525,937 10,577,812 5,288,906 2,644,453 7,933,360 3,966,680 1,983,340 991,670 495,835 1,487,506 743,753 2,231,260 1,115,630 557,815 1,673,446 836,723 2,510,170 1,255,085 3,765,256 1,882,628 941,314 470,657 1,411,972 705,986 352,993 1,058,980 529,490 264,745 794,236 397,118 198,559 595,678 297,839 893,518 446,759 1,340,278 670,139 2,010,418 1,005,209 3,015,628 1,507,814 753,907 2,261,722 1,130,861 3,392,584 1,696,292 848,146 424,073 1,272,220 636,110 318,055 954,166 477,083 1,431,250 715,625 2,146,876 1,073,438 536,719 1,610,158 805,079

More profiles

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