3,464,640

2⁶ × 3³ × 5 × 401

3,464,640 factors as 2^6 × 3^3 × 5 × 401. Its 112 positive divisors give a proper-divisor sum of 8,788,320, so this integer is abundant. The Collatz stopping time is 97 steps.

Prime Factor Structure

Factorization String 2^6 × 3^3 × 5 × 401

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 112

Divisor Sum (σ) 12,252,960

Proper Divisor Sum 8,788,320

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #3464633 ← → #3464647

Radix Representation

Decimal	3464640
Binary	1101001101110111000000 (22 bits)
Octal	0o15156700
Hexadecimal	0x34DDC0

Divisor Catalog (60 of 112)

1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 90 96 108 120 135 144 160 180 192 216 240 270 288 320 360 401 432 480 540 576 720 802 864 960 1,080 1,203 1,440 1,604 1,728 2,005 2,160 2,406 2,880

Collatz Trajectory (97 steps to reach 1)

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

3,464,640 1,732,320 866,160 433,080 216,540 108,270 54,135 162,406 81,203 243,610 121,805 365,416 182,708 91,354 45,677 137,032 68,516 34,258 17,129 51,388 25,694 12,847 38,542 19,271 57,814 28,907 86,722 43,361 130,084 65,042 32,521 97,564 48,782 24,391 73,174 36,587 109,762 54,881 164,644 82,322 41,161 123,484 61,742 30,871 92,614 46,307 138,922 69,461 208,384 104,192 52,096 26,048 13,024 6,512 3,256 1,628 814 407 1,222 611

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