67,775,672

2³ × 31 × 273289

67,775,672 factors as 2^3 × 31 × 273289. Its 16 positive divisors give a proper-divisor sum of 63,403,528, so this integer is deficient. The Collatz stopping time is 109 steps.

Prime Factor Structure

Factorization String 2^3 × 31 × 273289

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 131,179,200

Proper Divisor Sum 63,403,528

Digit Sum / Digital Root 47 (Root: 2)

Adjacent Primes #67775671 ← → #67775699

Radix Representation

Decimal	67775672
Binary	100000010100010110010111000 (27 bits)
Octal	0o402426270
Hexadecimal	0x40A2CB8

Divisor Catalog (16)

1 2 4 8 31 62 124 248 273,289 546,578 1,093,156 2,186,312 8,471,959 16,943,918 33,887,836 67,775,672

Collatz Trajectory (109 steps to reach 1)

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

67,775,672 33,887,836 16,943,918 8,471,959 25,415,878 12,707,939 38,123,818 19,061,909 57,185,728 28,592,864 14,296,432 7,148,216 3,574,108 1,787,054 893,527 2,680,582 1,340,291 4,020,874 2,010,437 6,031,312 3,015,656 1,507,828 753,914 376,957 1,130,872 565,436 282,718 141,359 424,078 212,039 636,118 318,059 954,178 477,089 1,431,268 715,634 357,817 1,073,452 536,726 268,363 805,090 402,545 1,207,636 603,818 301,909 905,728 452,864 226,432 113,216 56,608 28,304 14,152 7,076 3,538 1,769 5,308 2,654 1,327 3,982 1,991

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