λ
Harmonic Matrix

3,600,763

3600763
Deficient Odd Prime

3,600,763 has digital root 7. The neighboring primes are 3600761 and 3600791; its proper-divisor sum differs from the starting integer by -3,600,762.

Prime Factor Structure

Factorization String 3600763
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 3,600,764
Proper Divisor Sum 1
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #3600761 ← → #3600791

Radix Representation

Decimal 3600763
Binary 1101101111000101111011 (22 bits)
Octal 0o15570573
Hexadecimal 0x36F17B

Divisor Catalog (2)

Collatz Trajectory (115 steps to reach 1)

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

3,600,763 10,802,290 5,401,145 16,203,436 8,101,718 4,050,859 12,152,578 6,076,289 18,228,868 9,114,434 4,557,217 13,671,652 6,835,826 3,417,913 10,253,740 5,126,870 2,563,435 7,690,306 3,845,153 11,535,460 5,767,730 2,883,865 8,651,596 4,325,798 2,162,899 6,488,698 3,244,349 9,733,048 4,866,524 2,433,262 1,216,631 3,649,894 1,824,947 5,474,842 2,737,421 8,212,264 4,106,132 2,053,066 1,026,533 3,079,600 1,539,800 769,900 384,950 192,475 577,426 288,713 866,140 433,070 216,535 649,606 324,803 974,410 487,205 1,461,616 730,808 365,404 182,702 91,351 274,054 137,027

More profiles

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