67,402,420

2² × 5 × 23 × 146527

67,402,420 factors as 2^2 × 5 × 23 × 146527. Its 24 positive divisors give a proper-divisor sum of 80,297,804, so this integer is abundant. The Collatz stopping time is 132 steps.

Prime Factor Structure

Factorization String 2^2 × 5 × 23 × 146527

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 147,700,224

Proper Divisor Sum 80,297,804

Digit Sum / Digital Root 25 (Root: 7)

Adjacent Primes #67402417 ← → #67402427

Radix Representation

Decimal	67402420
Binary	100000001000111101010110100 (27 bits)
Octal	0o401075264
Hexadecimal	0x4047AB4

Divisor Catalog (24)

Collatz Trajectory (132 steps to reach 1)

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

67,402,420 33,701,210 16,850,605 50,551,816 25,275,908 12,637,954 6,318,977 18,956,932 9,478,466 4,739,233 14,217,700 7,108,850 3,554,425 10,663,276 5,331,638 2,665,819 7,997,458 3,998,729 11,996,188 5,998,094 2,999,047 8,997,142 4,498,571 13,495,714 6,747,857 20,243,572 10,121,786 5,060,893 15,182,680 7,591,340 3,795,670 1,897,835 5,693,506 2,846,753 8,540,260 4,270,130 2,135,065 6,405,196 3,202,598 1,601,299 4,803,898 2,401,949 7,205,848 3,602,924 1,801,462 900,731 2,702,194 1,351,097 4,053,292 2,026,646 1,013,323 3,039,970 1,519,985 4,559,956 2,279,978 1,139,989 3,419,968 1,709,984 854,992 427,496

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