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Atlas › Integer Profiles › Node 29,619,040

29,619,040

25 × 5 × 11 × 16829
Abundant Even Composite

29,619,040 factors as 2^5 × 5 × 11 × 16829. Its 48 positive divisors give a proper-divisor sum of 46,721,840, so this integer is abundant. The Collatz stopping time is 167 steps.

Prime Factor Structure

Factorization String 2^5 × 5 × 11 × 16829
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 76,340,880
Proper Divisor Sum 46,721,840
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #29619019 ← → #29619061

Radix Representation

Decimal 29619040
Binary 1110000111111001101100000 (25 bits)
Octal 0o160771540
Hexadecimal 0x1C3F360

Divisor Catalog (48)

1 2 4 5 8 10 11 16 20 22 32 40 44 55 80 88 110 160 176 220 352 440 880 1,760 16,829 33,658 67,316 84,145 134,632 168,290 185,119 269,264 336,580 370,238 538,528 673,160 740,476 925,595 1,346,320 1,480,952 1,851,190 2,692,640 2,961,904 3,702,380 5,923,808 7,404,760 14,809,520 29,619,040

Collatz Trajectory (167 steps to reach 1)

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

29,619,040 14,809,520 7,404,760 3,702,380 1,851,190 925,595 2,776,786 1,388,393 4,165,180 2,082,590 1,041,295 3,123,886 1,561,943 4,685,830 2,342,915 7,028,746 3,514,373 10,543,120 5,271,560 2,635,780 1,317,890 658,945 1,976,836 988,418 494,209 1,482,628 741,314 370,657 1,111,972 555,986 277,993 833,980 416,990 208,495 625,486 312,743 938,230 469,115 1,407,346 703,673 2,111,020 1,055,510 527,755 1,583,266 791,633 2,374,900 1,187,450 593,725 1,781,176 890,588 445,294 222,647 667,942 333,971 1,001,914 500,957 1,502,872 751,436 375,718 187,859

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