55,672,006

2 × 13 × 23 × 93097

55,672,006 factors as 2 × 13 × 23 × 93097. Its 16 positive divisors give a proper-divisor sum of 38,170,778, so this integer is deficient. The Collatz stopping time is 101 steps.

Prime Factor Structure

Factorization String 2 × 13 × 23 × 93097

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 93,842,784

Proper Divisor Sum 38,170,778

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #55671949 ← → #55672007

Radix Representation

Decimal	55672006
Binary	11010100010111110011000110 (26 bits)
Octal	0o324276306
Hexadecimal	0x3517CC6

Divisor Catalog (16)

1 2 13 23 26 46 299 598 93,097 186,194 1,210,261 2,141,231 2,420,522 4,282,462 27,836,003 55,672,006

Collatz Trajectory (101 steps to reach 1)

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

55,672,006 27,836,003 83,508,010 41,754,005 125,262,016 62,631,008 31,315,504 15,657,752 7,828,876 3,914,438 1,957,219 5,871,658 2,935,829 8,807,488 4,403,744 2,201,872 1,100,936 550,468 275,234 137,617 412,852 206,426 103,213 309,640 154,820 77,410 38,705 116,116 58,058 29,029 87,088 43,544 21,772 10,886 5,443 16,330 8,165 24,496 12,248 6,124 3,062 1,531 4,594 2,297 6,892 3,446 1,723 5,170 2,585 7,756 3,878 1,939 5,818 2,909 8,728 4,364 2,182 1,091 3,274 1,637

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