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Atlas › Integer Profiles › Node 21,025,784

21,025,784

23 × 13 × 41 × 4931
Abundant Even Composite

21,025,784 factors as 2^3 × 13 × 41 × 4931. Its 32 positive divisors give a proper-divisor sum of 22,474,456, so this integer is abundant. The Collatz stopping time is 177 steps.

Prime Factor Structure

Factorization String 2^3 × 13 × 41 × 4931
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 43,500,240
Proper Divisor Sum 22,474,456
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #21025759 ← → #21025793

Radix Representation

Decimal 21025784
Binary 1010000001101001111111000 (25 bits)
Octal 0o120151770
Hexadecimal 0x140D3F8

Divisor Catalog (32)

1 2 4 8 13 26 41 52 82 104 164 328 533 1,066 2,132 4,264 4,931 9,862 19,724 39,448 64,103 128,206 202,171 256,412 404,342 512,824 808,684 1,617,368 2,628,223 5,256,446 10,512,892 21,025,784

Collatz Trajectory (177 steps to reach 1)

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

21,025,784 10,512,892 5,256,446 2,628,223 7,884,670 3,942,335 11,827,006 5,913,503 17,740,510 8,870,255 26,610,766 13,305,383 39,916,150 19,958,075 59,874,226 29,937,113 89,811,340 44,905,670 22,452,835 67,358,506 33,679,253 101,037,760 50,518,880 25,259,440 12,629,720 6,314,860 3,157,430 1,578,715 4,736,146 2,368,073 7,104,220 3,552,110 1,776,055 5,328,166 2,664,083 7,992,250 3,996,125 11,988,376 5,994,188 2,997,094 1,498,547 4,495,642 2,247,821 6,743,464 3,371,732 1,685,866 842,933 2,528,800 1,264,400 632,200 316,100 158,050 79,025 237,076 118,538 59,269 177,808 88,904 44,452 22,226

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