1,233,840

2⁴ × 3 × 5 × 53 × 97

1,233,840 factors as 2^4 × 3 × 5 × 53 × 97. Its 80 positive divisors give a proper-divisor sum of 2,703,408, so this integer is abundant. The Collatz stopping time is 129 steps.

Prime Factor Structure

Factorization String 2^4 × 3 × 5 × 53 × 97

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 80

Divisor Sum (σ) 3,937,248

Proper Divisor Sum 2,703,408

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #1233781 ← → #1233851

Radix Representation

Decimal	1233840
Binary	100101101001110110000 (21 bits)
Octal	0o4551660
Hexadecimal	0x12D3B0

Divisor Catalog (60 of 80)

1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 53 60 80 97 106 120 159 194 212 240 265 291 318 388 424 485 530 582 636 776 795 848 970 1,060 1,164 1,272 1,455 1,552 1,590 1,940 2,120 2,328 2,544 2,910 3,180 3,880 4,240 4,656 5,141 5,820 6,360 7,760 10,282 11,640

Collatz Trajectory (129 steps to reach 1)

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

1,233,840 616,920 308,460 154,230 77,115 231,346 115,673 347,020 173,510 86,755 260,266 130,133 390,400 195,200 97,600 48,800 24,400 12,200 6,100 3,050 1,525 4,576 2,288 1,144 572 286 143 430 215 646 323 970 485 1,456 728 364 182 91 274 137 412 206 103 310 155 466 233 700 350 175 526 263 790 395 1,186 593 1,780 890 445 1,336

More profiles

8,186,742 6,508,936 1,243,523 9,707,897 2,031,763 7,230,127 6,879,075 4,834,973 6,541,225 2,622,185 6,890,198 9,647,236 5,222,817 779,898 8,328,720 1,371,714

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