6,777,524

2² × 13 × 130337

6,777,524 factors as 2^2 × 13 × 130337. Its 12 positive divisors give a proper-divisor sum of 5,995,600, so this integer is deficient. The Collatz stopping time is 253 steps.

Prime Factor Structure

Factorization String 2^2 × 13 × 130337

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 12,773,124

Proper Divisor Sum 5,995,600

Digit Sum / Digital Root 38 (Root: 2)

Adjacent Primes #6777521 ← → #6777559

Radix Representation

Decimal	6777524
Binary	11001110110101010110100 (23 bits)
Octal	0o31665264
Hexadecimal	0x676AB4

Divisor Catalog (12)

1 2 4 13 26 52 130,337 260,674 521,348 1,694,381 3,388,762 6,777,524

Collatz Trajectory (253 steps to reach 1)

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

6,777,524 3,388,762 1,694,381 5,083,144 2,541,572 1,270,786 635,393 1,906,180 953,090 476,545 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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