67,190,876

2² × 349 × 48131

67,190,876 factors as 2^2 × 349 × 48131. Its 12 positive divisors give a proper-divisor sum of 50,732,524, so this integer is deficient. The Collatz stopping time is 109 steps.

Prime Factor Structure

Factorization String 2^2 × 349 × 48131

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 117,923,400

Proper Divisor Sum 50,732,524

Digit Sum / Digital Root 44 (Root: 8)

Adjacent Primes #67190873 ← → #67190881

Radix Representation

Decimal	67190876
Binary	100000000010100000001011100 (27 bits)
Octal	0o400240134
Hexadecimal	0x401405C

Divisor Catalog (12)

1 2 4 349 698 1,396 48,131 96,262 192,524 16,797,719 33,595,438 67,190,876

Collatz Trajectory (109 steps to reach 1)

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

67,190,876 33,595,438 16,797,719 50,393,158 25,196,579 75,589,738 37,794,869 113,384,608 56,692,304 28,346,152 14,173,076 7,086,538 3,543,269 10,629,808 5,314,904 2,657,452 1,328,726 664,363 1,993,090 996,545 2,989,636 1,494,818 747,409 2,242,228 1,121,114 560,557 1,681,672 840,836 420,418 210,209 630,628 315,314 157,657 472,972 236,486 118,243 354,730 177,365 532,096 266,048 133,024 66,512 33,256 16,628 8,314 4,157 12,472 6,236 3,118 1,559 4,678 2,339 7,018 3,509 10,528 5,264 2,632 1,316 658 329

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