λ
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Atlas › Integer Profiles › Node 27,763,533

27,763,533

33 × 7 × 17 × 8641
Deficient Odd Composite

27,763,533 factors as 3^3 × 7 × 17 × 8641. Its 32 positive divisors give a proper-divisor sum of 22,014,387, so this integer is deficient. The Collatz stopping time is 136 steps.

Prime Factor Structure

Factorization String 3^3 × 7 × 17 × 8641
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 49,777,920
Proper Divisor Sum 22,014,387
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #27763531 ← → #27763543

Radix Representation

Decimal 27763533
Binary 1101001111010001101001101 (25 bits)
Octal 0o151721515
Hexadecimal 0x1A7A34D

Divisor Catalog (32)

1 3 7 9 17 21 27 51 63 119 153 189 357 459 1,071 3,213 8,641 25,923 60,487 77,769 146,897 181,461 233,307 440,691 544,383 1,028,279 1,322,073 1,633,149 3,084,837 3,966,219 9,254,511 27,763,533

Collatz Trajectory (136 steps to reach 1)

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

27,763,533 83,290,600 41,645,300 20,822,650 10,411,325 31,233,976 15,616,988 7,808,494 3,904,247 11,712,742 5,856,371 17,569,114 8,784,557 26,353,672 13,176,836 6,588,418 3,294,209 9,882,628 4,941,314 2,470,657 7,411,972 3,705,986 1,852,993 5,558,980 2,779,490 1,389,745 4,169,236 2,084,618 1,042,309 3,126,928 1,563,464 781,732 390,866 195,433 586,300 293,150 146,575 439,726 219,863 659,590 329,795 989,386 494,693 1,484,080 742,040 371,020 185,510 92,755 278,266 139,133 417,400 208,700 104,350 52,175 156,526 78,263 234,790 117,395 352,186 176,093

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