λ
Modular Archive

8,376,628

22 × 13 × 41 × 3929
Deficient Even Composite

The decimal integer 8,376,628 is 11111111101000100110100 in binary (23 bits), 37750464 in octal and 7FD134 in hexadecimal. Its digit sum is 40.

Prime Factor Structure

Factorization String 2^2 × 13 × 41 × 3929
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 16,175,880
Proper Divisor Sum 7,799,252
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #8376619 ← → #8376647

Radix Representation

Decimal 8376628
Binary 11111111101000100110100 (23 bits)
Octal 0o37750464
Hexadecimal 0x7FD134

Divisor Catalog (24)

1 2 4 13 26 41 52 82 164 533 1,066 2,132 3,929 7,858 15,716 51,077 102,154 161,089 204,308 322,178 644,356 2,094,157 4,188,314 8,376,628

Collatz Trajectory (168 steps to reach 1)

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

8,376,628 4,188,314 2,094,157 6,282,472 3,141,236 1,570,618 785,309 2,355,928 1,177,964 588,982 294,491 883,474 441,737 1,325,212 662,606 331,303 993,910 496,955 1,490,866 745,433 2,236,300 1,118,150 559,075 1,677,226 838,613 2,515,840 1,257,920 628,960 314,480 157,240 78,620 39,310 19,655 58,966 29,483 88,450 44,225 132,676 66,338 33,169 99,508 49,754 24,877 74,632 37,316 18,658 9,329 27,988 13,994 6,997 20,992 10,496 5,248 2,624 1,312 656 328 164 82 41

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