λ
Harmonic Matrix

3,509,997

3 × 173 × 6763
Deficient Odd Composite

3,509,997 has digital root 6. The neighboring primes are 3509983 and 3509999; its proper-divisor sum differs from the starting integer by -2,312,250.

Prime Factor Structure

Factorization String 3 × 173 × 6763
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 4,707,744
Proper Divisor Sum 1,197,747
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #3509983 ← → #3509999

Radix Representation

Decimal 3509997
Binary 1101011000111011101101 (22 bits)
Octal 0o15307355
Hexadecimal 0x358EED

Divisor Catalog (8)

1 3 173 519 6,763 20,289 1,169,999 3,509,997

Collatz Trajectory (177 steps to reach 1)

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

3,509,997 10,529,992 5,264,996 2,632,498 1,316,249 3,948,748 1,974,374 987,187 2,961,562 1,480,781 4,442,344 2,221,172 1,110,586 555,293 1,665,880 832,940 416,470 208,235 624,706 312,353 937,060 468,530 234,265 702,796 351,398 175,699 527,098 263,549 790,648 395,324 197,662 98,831 296,494 148,247 444,742 222,371 667,114 333,557 1,000,672 500,336 250,168 125,084 62,542 31,271 93,814 46,907 140,722 70,361 211,084 105,542 52,771 158,314 79,157 237,472 118,736 59,368 29,684 14,842 7,421 22,264

More profiles

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