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Atlas › Integer Profiles › Node 28,488,796

28,488,796

22 × 72 × 191 × 761
Abundant Even Composite

28,488,796 factors as 2^2 × 7^2 × 191 × 761. Its 36 positive divisors give a proper-divisor sum of 29,886,500, so this integer is abundant. The Collatz stopping time is 123 steps.

Prime Factor Structure

Factorization String 2^2 × 7^2 × 191 × 761
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 58,375,296
Proper Divisor Sum 29,886,500
Digit Sum / Digital Root 52 (Root: 7)
Adjacent Primes #28488793 ← → #28488797

Radix Representation

Decimal 28488796
Binary 1101100101011010001011100 (25 bits)
Octal 0o154532134
Hexadecimal 0x1B2B45C

Divisor Catalog (36)

1 2 4 7 14 28 49 98 191 196 382 761 764 1,337 1,522 2,674 3,044 5,327 5,348 9,359 10,654 18,718 21,308 37,289 37,436 74,578 145,351 149,156 290,702 581,404 1,017,457 2,034,914 4,069,828 7,122,199 14,244,398 28,488,796

Collatz Trajectory (123 steps to reach 1)

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

28,488,796 14,244,398 7,122,199 21,366,598 10,683,299 32,049,898 16,024,949 48,074,848 24,037,424 12,018,712 6,009,356 3,004,678 1,502,339 4,507,018 2,253,509 6,760,528 3,380,264 1,690,132 845,066 422,533 1,267,600 633,800 316,900 158,450 79,225 237,676 118,838 59,419 178,258 89,129 267,388 133,694 66,847 200,542 100,271 300,814 150,407 451,222 225,611 676,834 338,417 1,015,252 507,626 253,813 761,440 380,720 190,360 95,180 47,590 23,795 71,386 35,693 107,080 53,540 26,770 13,385 40,156 20,078 10,039 30,118

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