λ
Harmonic Matrix

3,613,633

3613633
Deficient Odd Prime

3,613,633 has digital root 7. The neighboring primes are 3613619 and 3613637; its proper-divisor sum differs from the starting integer by -3,613,632.

Prime Factor Structure

Factorization String 3613633
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 3,613,634
Proper Divisor Sum 1
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #3613619 ← → #3613637

Radix Representation

Decimal 3613633
Binary 1101110010001111000001 (22 bits)
Octal 0o15621701
Hexadecimal 0x3723C1

Divisor Catalog (2)

Collatz Trajectory (247 steps to reach 1)

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

3,613,633 10,840,900 5,420,450 2,710,225 8,130,676 4,065,338 2,032,669 6,098,008 3,049,004 1,524,502 762,251 2,286,754 1,143,377 3,430,132 1,715,066 857,533 2,572,600 1,286,300 643,150 321,575 964,726 482,363 1,447,090 723,545 2,170,636 1,085,318 542,659 1,627,978 813,989 2,441,968 1,220,984 610,492 305,246 152,623 457,870 228,935 686,806 343,403 1,030,210 515,105 1,545,316 772,658 386,329 1,158,988 579,494 289,747 869,242 434,621 1,303,864 651,932 325,966 162,983 488,950 244,475 733,426 366,713 1,100,140 550,070 275,035 825,106

More profiles

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