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Atlas › Integer Profiles › Node 6,777,528

6,777,528

23 × 3 × 19 × 89 × 167
Abundant Even Composite

6,777,528 factors as 2^3 × 3 × 19 × 89 × 167. Its 64 positive divisors give a proper-divisor sum of 11,366,472, so this integer is abundant. The Collatz stopping time is 253 steps.

Prime Factor Structure

Factorization String 2^3 × 3 × 19 × 89 × 167
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 18,144,000
Proper Divisor Sum 11,366,472
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #6777521 ← → #6777559

Radix Representation

Decimal 6777528
Binary 11001110110101010111000 (23 bits)
Octal 0o31665270
Hexadecimal 0x676AB8

Divisor Catalog (60 of 64)

1 2 3 4 6 8 12 19 24 38 57 76 89 114 152 167 178 228 267 334 356 456 501 534 668 712 1,002 1,068 1,336 1,691 2,004 2,136 3,173 3,382 4,008 5,073 6,346 6,764 9,519 10,146 12,692 13,528 14,863 19,038 20,292 25,384 29,726 38,076 40,584 44,589 59,452 76,152 89,178 118,904 178,356 282,397 356,712 564,794 847,191 1,129,588

Collatz Trajectory (253 steps to reach 1)

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

6,777,528 3,388,764 1,694,382 847,191 2,541,574 1,270,787 3,812,362 1,906,181 5,718,544 2,859,272 1,429,636 714,818 357,409 1,072,228 536,114 268,057 804,172 402,086 201,043 603,130 301,565 904,696 452,348 226,174 113,087 339,262 169,631 508,894 254,447 763,342 381,671 1,145,014 572,507 1,717,522 858,761 2,576,284 1,288,142 644,071 1,932,214 966,107 2,898,322 1,449,161 4,347,484 2,173,742 1,086,871 3,260,614 1,630,307 4,890,922 2,445,461 7,336,384 3,668,192 1,834,096 917,048 458,524 229,262 114,631 343,894 171,947 515,842 257,921

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