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Atlas › Integer Profiles › Node 52,106,904

52,106,904

23 × 32 × 17 × 42571
Abundant Even Composite

52,106,904 factors as 2^3 × 3^2 × 17 × 42571. Its 48 positive divisors give a proper-divisor sum of 97,320,816, so this integer is abundant. The Collatz stopping time is 119 steps.

Prime Factor Structure

Factorization String 2^3 × 3^2 × 17 × 42571
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 149,427,720
Proper Divisor Sum 97,320,816
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #52106903 ← → #52106917

Radix Representation

Decimal 52106904
Binary 11000110110001011010011000 (26 bits)
Octal 0o306613230
Hexadecimal 0x31B1698

Divisor Catalog (48)

1 2 3 4 6 8 9 12 17 18 24 34 36 51 68 72 102 136 153 204 306 408 612 1,224 42,571 85,142 127,713 170,284 255,426 340,568 383,139 510,852 723,707 766,278 1,021,704 1,447,414 1,532,556 2,171,121 2,894,828 3,065,112 4,342,242 5,789,656 6,513,363 8,684,484 13,026,726 17,368,968 26,053,452 52,106,904

Collatz Trajectory (119 steps to reach 1)

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

52,106,904 26,053,452 13,026,726 6,513,363 19,540,090 9,770,045 29,310,136 14,655,068 7,327,534 3,663,767 10,991,302 5,495,651 16,486,954 8,243,477 24,730,432 12,365,216 6,182,608 3,091,304 1,545,652 772,826 386,413 1,159,240 579,620 289,810 144,905 434,716 217,358 108,679 326,038 163,019 489,058 244,529 733,588 366,794 183,397 550,192 275,096 137,548 68,774 34,387 103,162 51,581 154,744 77,372 38,686 19,343 58,030 29,015 87,046 43,523 130,570 65,285 195,856 97,928 48,964 24,482 12,241 36,724 18,362 9,181

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