1,974,942

2 × 3⁴ × 73 × 167

1,974,942 factors as 2 × 3^4 × 73 × 167. Its 40 positive divisors give a proper-divisor sum of 2,537,874, so this integer is abundant. The Collatz stopping time is 122 steps.

Prime Factor Structure

Factorization String 2 × 3^4 × 73 × 167

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 40

Divisor Sum (σ) 4,512,816

Proper Divisor Sum 2,537,874

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #1974937 ← → #1974961

Radix Representation

Decimal	1974942
Binary	111100010001010011110 (21 bits)
Octal	0o7421236
Hexadecimal	0x1E229E

Divisor Catalog (40)

1 2 3 6 9 18 27 54 73 81 146 162 167 219 334 438 501 657 1,002 1,314 1,503 1,971 3,006 3,942 4,509 5,913 9,018 11,826 12,191 13,527 24,382 27,054 36,573 73,146 109,719 219,438 329,157 658,314 987,471 1,974,942

Collatz Trajectory (122 steps to reach 1)

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

1,974,942 987,471 2,962,414 1,481,207 4,443,622 2,221,811 6,665,434 3,332,717 9,998,152 4,999,076 2,499,538 1,249,769 3,749,308 1,874,654 937,327 2,811,982 1,405,991 4,217,974 2,108,987 6,326,962 3,163,481 9,490,444 4,745,222 2,372,611 7,117,834 3,558,917 10,676,752 5,338,376 2,669,188 1,334,594 667,297 2,001,892 1,000,946 500,473 1,501,420 750,710 375,355 1,126,066 563,033 1,689,100 844,550 422,275 1,266,826 633,413 1,900,240 950,120 475,060 237,530 118,765 356,296 178,148 89,074 44,537 133,612 66,806 33,403 100,210 50,105 150,316 75,158

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