λ
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Atlas › Integer Profiles › Node 39,348,684

39,348,684

22 × 32 × 41 × 53 × 503
Abundant Even Composite

39,348,684 factors as 2^2 × 3^2 × 41 × 53 × 503. Its 72 positive divisors give a proper-divisor sum of 64,670,868, so this integer is abundant. The Collatz stopping time is 284 steps.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 41 × 53 × 503
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 72
Divisor Sum (σ) 104,019,552
Proper Divisor Sum 64,670,868
Digit Sum / Digital Root 45 (Root: 9)
Adjacent Primes #39348671 ← → #39348733

Radix Representation

Decimal 39348684
Binary 10010110000110100111001100 (26 bits)
Octal 0o226064714
Hexadecimal 0x25869CC

Divisor Catalog (60 of 72)

1 2 3 4 6 9 12 18 36 41 53 82 106 123 159 164 212 246 318 369 477 492 503 636 738 954 1,006 1,476 1,509 1,908 2,012 2,173 3,018 4,346 4,527 6,036 6,519 8,692 9,054 13,038 18,108 19,557 20,623 26,076 26,659 39,114 41,246 53,318 61,869 78,228 79,977 82,492 106,636 123,738 159,954 185,607 239,931 247,476 319,908 371,214

Collatz Trajectory (284 steps to reach 1)

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

39,348,684 19,674,342 9,837,171 29,511,514 14,755,757 44,267,272 22,133,636 11,066,818 5,533,409 16,600,228 8,300,114 4,150,057 12,450,172 6,225,086 3,112,543 9,337,630 4,668,815 14,006,446 7,003,223 21,009,670 10,504,835 31,514,506 15,757,253 47,271,760 23,635,880 11,817,940 5,908,970 2,954,485 8,863,456 4,431,728 2,215,864 1,107,932 553,966 276,983 830,950 415,475 1,246,426 623,213 1,869,640 934,820 467,410 233,705 701,116 350,558 175,279 525,838 262,919 788,758 394,379 1,183,138 591,569 1,774,708 887,354 443,677 1,331,032 665,516 332,758 166,379 499,138 249,569

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