3,365,760

2⁷ × 3 × 5 × 1753

Starting at 3,365,760, the Collatz iteration reaches 1 after 71 steps. The first transition is 1682880; the starting value is even with 64 positive divisors.

Prime Factor Structure

Factorization String 2^7 × 3 × 5 × 1753

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 64

Divisor Sum (σ) 10,734,480

Proper Divisor Sum 7,368,720

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #3365759 ← → #3365771

Radix Representation

Decimal	3365760
Binary	1100110101101110000000 (22 bits)
Octal	0o14655600
Hexadecimal	0x335B80

Divisor Catalog (60 of 64)

1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 320 384 480 640 960 1,753 1,920 3,506 5,259 7,012 8,765 10,518 14,024 17,530 21,036 26,295 28,048 35,060 42,072 52,590 56,096 70,120 84,144 105,180 112,192 140,240 168,288 210,360 224,384 280,480 336,576 420,720 560,960 673,152

Collatz Trajectory (71 steps to reach 1)

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

3,365,760 1,682,880 841,440 420,720 210,360 105,180 52,590 26,295 78,886 39,443 118,330 59,165 177,496 88,748 44,374 22,187 66,562 33,281 99,844 49,922 24,961 74,884 37,442 18,721 56,164 28,082 14,041 42,124 21,062 10,531 31,594 15,797 47,392 23,696 11,848 5,924 2,962 1,481 4,444 2,222 1,111 3,334 1,667 5,002 2,501 7,504 3,752 1,876 938 469 1,408 704 352 176 88 44 22 11 34 17

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