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Atlas › Integer Profiles › Node 28,064,692

28,064,692

22 × 23 × 29 × 67 × 157
Deficient Even Composite

28,064,692 factors as 2^2 × 23 × 29 × 67 × 157. Its 48 positive divisors give a proper-divisor sum of 26,085,068, so this integer is deficient. The Collatz stopping time is 87 steps.

Prime Factor Structure

Factorization String 2^2 × 23 × 29 × 67 × 157
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 54,149,760
Proper Divisor Sum 26,085,068
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #28064689 ← → #28064693

Radix Representation

Decimal 28064692
Binary 1101011000011101110110100 (25 bits)
Octal 0o153035664
Hexadecimal 0x1AC3BB4

Divisor Catalog (48)

1 2 4 23 29 46 58 67 92 116 134 157 268 314 628 667 1,334 1,541 1,943 2,668 3,082 3,611 3,886 4,553 6,164 7,222 7,772 9,106 10,519 14,444 18,212 21,038 42,076 44,689 89,378 104,719 178,756 209,438 241,937 305,051 418,876 483,874 610,102 967,748 1,220,204 7,016,173 14,032,346 28,064,692

Collatz Trajectory (87 steps to reach 1)

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

28,064,692 14,032,346 7,016,173 21,048,520 10,524,260 5,262,130 2,631,065 7,893,196 3,946,598 1,973,299 5,919,898 2,959,949 8,879,848 4,439,924 2,219,962 1,109,981 3,329,944 1,664,972 832,486 416,243 1,248,730 624,365 1,873,096 936,548 468,274 234,137 702,412 351,206 175,603 526,810 263,405 790,216 395,108 197,554 98,777 296,332 148,166 74,083 222,250 111,125 333,376 166,688 83,344 41,672 20,836 10,418 5,209 15,628 7,814 3,907 11,722 5,861 17,584 8,792 4,396 2,198 1,099 3,298 1,649 4,948

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