773,040

2⁴ × 3 × 5 × 3221

773,040 factors as 2^4 × 3 × 5 × 3221. Its 40 positive divisors give a proper-divisor sum of 1,624,128, so this integer is abundant. The Collatz stopping time is 211 steps.

Prime Factor Structure

Factorization String 2^4 × 3 × 5 × 3221

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 40

Divisor Sum (σ) 2,397,168

Proper Divisor Sum 1,624,128

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #773039 ← → #773057

Radix Representation

Decimal	773040
Binary	10111100101110110000 (20 bits)
Octal	0o2745660
Hexadecimal	0xBCBB0

Divisor Catalog (40)

1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 3,221 6,442 9,663 12,884 16,105 19,326 25,768 32,210 38,652 48,315 51,536 64,420 77,304 96,630 128,840 154,608 193,260 257,680 386,520 773,040

Collatz Trajectory (211 steps to reach 1)

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

773,040 386,520 193,260 96,630 48,315 144,946 72,473 217,420 108,710 54,355 163,066 81,533 244,600 122,300 61,150 30,575 91,726 45,863 137,590 68,795 206,386 103,193 309,580 154,790 77,395 232,186 116,093 348,280 174,140 87,070 43,535 130,606 65,303 195,910 97,955 293,866 146,933 440,800 220,400 110,200 55,100 27,550 13,775 41,326 20,663 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

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