λ
Harmonic Matrix

3,337,937

3337937
Deficient Odd Prime

3,337,937 has digital root 8. The neighboring primes are 3337931 and 3337951; its proper-divisor sum differs from the starting integer by -3,337,936.

Prime Factor Structure

Factorization String 3337937
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 3,337,938
Proper Divisor Sum 1
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #3337931 ← → #3337951

Radix Representation

Decimal 3337937
Binary 1100101110111011010001 (22 bits)
Octal 0o14567321
Hexadecimal 0x32EED1

Divisor Catalog (2)

Collatz Trajectory (89 steps to reach 1)

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

3,337,937 10,013,812 5,006,906 2,503,453 7,510,360 3,755,180 1,877,590 938,795 2,816,386 1,408,193 4,224,580 2,112,290 1,056,145 3,168,436 1,584,218 792,109 2,376,328 1,188,164 594,082 297,041 891,124 445,562 222,781 668,344 334,172 167,086 83,543 250,630 125,315 375,946 187,973 563,920 281,960 140,980 70,490 35,245 105,736 52,868 26,434 13,217 39,652 19,826 9,913 29,740 14,870 7,435 22,306 11,153 33,460 16,730 8,365 25,096 12,548 6,274 3,137 9,412 4,706 2,353 7,060 3,530

More profiles

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