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Atlas › Integer Profiles › Node 3,967,360

3,967,360

27 × 5 × 6199
Abundant Even Composite

3,967,360 factors as 2^7 × 5 × 6199. Its 32 positive divisors give a proper-divisor sum of 5,518,640, so this integer is abundant. The Collatz stopping time is 172 steps.

Prime Factor Structure

Factorization String 2^7 × 5 × 6199
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 9,486,000
Proper Divisor Sum 5,518,640
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #3967357 ← → #3967363

Radix Representation

Decimal 3967360
Binary 1111001000100110000000 (22 bits)
Octal 0o17104600
Hexadecimal 0x3C8980

Divisor Catalog (32)

1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 640 6,199 12,398 24,796 30,995 49,592 61,990 99,184 123,980 198,368 247,960 396,736 495,920 793,472 991,840 1,983,680 3,967,360

Collatz Trajectory (172 steps to reach 1)

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

3,967,360 1,983,680 991,840 495,920 247,960 123,980 61,990 30,995 92,986 46,493 139,480 69,740 34,870 17,435 52,306 26,153 78,460 39,230 19,615 58,846 29,423 88,270 44,135 132,406 66,203 198,610 99,305 297,916 148,958 74,479 223,438 111,719 335,158 167,579 502,738 251,369 754,108 377,054 188,527 565,582 282,791 848,374 424,187 1,272,562 636,281 1,908,844 954,422 477,211 1,431,634 715,817 2,147,452 1,073,726 536,863 1,610,590 805,295 2,415,886 1,207,943 3,623,830 1,811,915 5,435,746

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