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Atlas › Integer Profiles › Node 6,743,376

6,743,376

24 × 32 × 46829
Abundant Even Composite

6,743,376 factors as 2^4 × 3^2 × 46829. Its 30 positive divisors give a proper-divisor sum of 12,129,114, so this integer is abundant. The Collatz stopping time is 147 steps.

Prime Factor Structure

Factorization String 2^4 × 3^2 × 46829
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 30
Divisor Sum (σ) 18,872,490
Proper Divisor Sum 12,129,114
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #6743371 ← → #6743381

Radix Representation

Decimal 6743376
Binary 11001101110010101010000 (23 bits)
Octal 0o31562520
Hexadecimal 0x66E550

Divisor Catalog (30)

1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 46,829 93,658 140,487 187,316 280,974 374,632 421,461 561,948 749,264 842,922 1,123,896 1,685,844 2,247,792 3,371,688 6,743,376

Collatz Trajectory (147 steps to reach 1)

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

6,743,376 3,371,688 1,685,844 842,922 421,461 1,264,384 632,192 316,096 158,048 79,024 39,512 19,756 9,878 4,939 14,818 7,409 22,228 11,114 5,557 16,672 8,336 4,168 2,084 1,042 521 1,564 782 391 1,174 587 1,762 881 2,644 1,322 661 1,984 992 496 248 124 62 31 94 47 142 71 214 107 322 161 484 242 121 364 182 91 274 137 412 206

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