λ
Harmonic Matrix

3,609,293

193 × 18701
Deficient Odd Composite

3,609,293 has digital root 5. The neighboring primes are 3609289 and 3609301; its proper-divisor sum differs from the starting integer by -3,590,398.

Prime Factor Structure

Factorization String 193 × 18701
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 3,628,188
Proper Divisor Sum 18,895
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #3609289 ← → #3609301

Radix Representation

Decimal 3609293
Binary 1101110001001011001101 (22 bits)
Octal 0o15611315
Hexadecimal 0x3712CD

Divisor Catalog (4)

1 193 18,701 3,609,293

Collatz Trajectory (234 steps to reach 1)

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

3,609,293 10,827,880 5,413,940 2,706,970 1,353,485 4,060,456 2,030,228 1,015,114 507,557 1,522,672 761,336 380,668 190,334 95,167 285,502 142,751 428,254 214,127 642,382 321,191 963,574 481,787 1,445,362 722,681 2,168,044 1,084,022 542,011 1,626,034 813,017 2,439,052 1,219,526 609,763 1,829,290 914,645 2,743,936 1,371,968 685,984 342,992 171,496 85,748 42,874 21,437 64,312 32,156 16,078 8,039 24,118 12,059 36,178 18,089 54,268 27,134 13,567 40,702 20,351 61,054 30,527 91,582 45,791 137,374

More profiles

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