3,377,508

2² × 3 × 37 × 7607

3,377,508 is even and not a perfect square. Its factorization is 2^2 × 3 × 37 × 7607 and its 24 divisors sum to 8,094,912.

Prime Factor Structure

Factorization String 2^2 × 3 × 37 × 7607

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 8,094,912

Proper Divisor Sum 4,717,404

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #3377503 ← → #3377513

Radix Representation

Decimal	3377508
Binary	1100111000100101100100 (22 bits)
Octal	0o14704544
Hexadecimal	0x338964

Divisor Catalog (24)

1 2 3 4 6 12 37 74 111 148 222 444 7,607 15,214 22,821 30,428 45,642 91,284 281,459 562,918 844,377 1,125,836 1,688,754 3,377,508

Collatz Trajectory (89 steps to reach 1)

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

3,377,508 1,688,754 844,377 2,533,132 1,266,566 633,283 1,899,850 949,925 2,849,776 1,424,888 712,444 356,222 178,111 534,334 267,167 801,502 400,751 1,202,254 601,127 1,803,382 901,691 2,705,074 1,352,537 4,057,612 2,028,806 1,014,403 3,043,210 1,521,605 4,564,816 2,282,408 1,141,204 570,602 285,301 855,904 427,952 213,976 106,988 53,494 26,747 80,242 40,121 120,364 60,182 30,091 90,274 45,137 135,412 67,706 33,853 101,560 50,780 25,390 12,695 38,086 19,043 57,130 28,565 85,696 42,848 21,424

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