33,841,840

2⁴ × 5 × 29² × 503

33,841,840 factors as 2^4 × 5 × 29^2 × 503. Its 60 positive divisors give a proper-divisor sum of 47,809,184, so this integer is abundant. The Collatz stopping time is 77 steps.

Prime Factor Structure

Factorization String 2^4 × 5 × 29^2 × 503

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 60

Divisor Sum (σ) 81,651,024

Proper Divisor Sum 47,809,184

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #33841837 ← → #33841859

Radix Representation

Decimal	33841840
Binary	10000001000110001010110000 (26 bits)
Octal	0o201061260
Hexadecimal	0x20462B0

Divisor Catalog (60)

1 2 4 5 8 10 16 20 29 40 58 80 116 145 232 290 464 503 580 841 1,006 1,160 1,682 2,012 2,320 2,515 3,364 4,024 4,205 5,030 6,728 8,048 8,410 10,060 13,456 14,587 16,820 20,120 29,174 33,640 40,240 58,348 67,280 72,935 116,696 145,870 233,392 291,740 423,023 583,480 846,046 1,166,960 1,692,092 2,115,115 3,384,184 4,230,230 6,768,368 8,460,460 16,920,920 33,841,840

Collatz Trajectory (77 steps to reach 1)

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

33,841,840 16,920,920 8,460,460 4,230,230 2,115,115 6,345,346 3,172,673 9,518,020 4,759,010 2,379,505 7,138,516 3,569,258 1,784,629 5,353,888 2,676,944 1,338,472 669,236 334,618 167,309 501,928 250,964 125,482 62,741 188,224 94,112 47,056 23,528 11,764 5,882 2,941 8,824 4,412 2,206 1,103 3,310 1,655 4,966 2,483 7,450 3,725 11,176 5,588 2,794 1,397 4,192 2,096 1,048 524 262 131 394 197 592 296 148 74 37 112 56 28

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