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3,548,288

27 × 19 × 1459
Abundant Even Composite

3,548,288 factors as 2^7 × 19 × 1459. Its 32 positive divisors give a proper-divisor sum of 3,897,712, so this integer is abundant. The Collatz stopping time is 97 steps.

Prime Factor Structure

Factorization String 2^7 × 19 × 1459
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 7,446,000
Proper Divisor Sum 3,897,712
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #3548267 ← → #3548299

Radix Representation

Decimal 3548288
Binary 1101100010010010000000 (22 bits)
Octal 0o15422200
Hexadecimal 0x362480

Divisor Catalog (32)

1 2 4 8 16 19 32 38 64 76 128 152 304 608 1,216 1,459 2,432 2,918 5,836 11,672 23,344 27,721 46,688 55,442 93,376 110,884 186,752 221,768 443,536 887,072 1,774,144 3,548,288

Collatz Trajectory (97 steps to reach 1)

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

3,548,288 1,774,144 887,072 443,536 221,768 110,884 55,442 27,721 83,164 41,582 20,791 62,374 31,187 93,562 46,781 140,344 70,172 35,086 17,543 52,630 26,315 78,946 39,473 118,420 59,210 29,605 88,816 44,408 22,204 11,102 5,551 16,654 8,327 24,982 12,491 37,474 18,737 56,212 28,106 14,053 42,160 21,080 10,540 5,270 2,635 7,906 3,953 11,860 5,930 2,965 8,896 4,448 2,224 1,112 556 278 139 418 209 628

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