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4,615,290

2 × 32 × 5 × 19 × 2699
Abundant Even Composite

4,615,290 factors as 2 × 3^2 × 5 × 19 × 2699. Its 48 positive divisors give a proper-divisor sum of 8,020,710, so this integer is abundant. The Collatz stopping time is 87 steps.

Prime Factor Structure

Factorization String 2 × 3^2 × 5 × 19 × 2699
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 12,636,000
Proper Divisor Sum 8,020,710
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #4615283 ← → #4615291

Radix Representation

Decimal 4615290
Binary 10001100110110001111010 (23 bits)
Octal 0o21466172
Hexadecimal 0x466C7A

Divisor Catalog (48)

1 2 3 5 6 9 10 15 18 19 30 38 45 57 90 95 114 171 190 285 342 570 855 1,710 2,699 5,398 8,097 13,495 16,194 24,291 26,990 40,485 48,582 51,281 80,970 102,562 121,455 153,843 242,910 256,405 307,686 461,529 512,810 769,215 923,058 1,538,430 2,307,645 4,615,290

Collatz Trajectory (87 steps to reach 1)

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

4,615,290 2,307,645 6,922,936 3,461,468 1,730,734 865,367 2,596,102 1,298,051 3,894,154 1,947,077 5,841,232 2,920,616 1,460,308 730,154 365,077 1,095,232 547,616 273,808 136,904 68,452 34,226 17,113 51,340 25,670 12,835 38,506 19,253 57,760 28,880 14,440 7,220 3,610 1,805 5,416 2,708 1,354 677 2,032 1,016 508 254 127 382 191 574 287 862 431 1,294 647 1,942 971 2,914 1,457 4,372 2,186 1,093 3,280 1,640 820

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