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Atlas › Integer Profiles › Node 37,745,298

37,745,298

2 × 33 × 29 × 24103
Abundant Even Composite

37,745,298 factors as 2 × 3^3 × 29 × 24103. Its 32 positive divisors give a proper-divisor sum of 49,029,102, so this integer is abundant. The Collatz stopping time is 178 steps.

Prime Factor Structure

Factorization String 2 × 3^3 × 29 × 24103
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 86,774,400
Proper Divisor Sum 49,029,102
Digit Sum / Digital Root 45 (Root: 9)
Adjacent Primes #37745293 ← → #37745299

Radix Representation

Decimal 37745298
Binary 10001111111111001010010010 (26 bits)
Octal 0o217771222
Hexadecimal 0x23FF292

Divisor Catalog (32)

1 2 3 6 9 18 27 29 54 58 87 174 261 522 783 1,566 24,103 48,206 72,309 144,618 216,927 433,854 650,781 698,987 1,301,562 1,397,974 2,096,961 4,193,922 6,290,883 12,581,766 18,872,649 37,745,298

Collatz Trajectory (178 steps to reach 1)

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

37,745,298 18,872,649 56,617,948 28,308,974 14,154,487 42,463,462 21,231,731 63,695,194 31,847,597 95,542,792 47,771,396 23,885,698 11,942,849 35,828,548 17,914,274 8,957,137 26,871,412 13,435,706 6,717,853 20,153,560 10,076,780 5,038,390 2,519,195 7,557,586 3,778,793 11,336,380 5,668,190 2,834,095 8,502,286 4,251,143 12,753,430 6,376,715 19,130,146 9,565,073 28,695,220 14,347,610 7,173,805 21,521,416 10,760,708 5,380,354 2,690,177 8,070,532 4,035,266 2,017,633 6,052,900 3,026,450 1,513,225 4,539,676 2,269,838 1,134,919 3,404,758 1,702,379 5,107,138 2,553,569 7,660,708 3,830,354 1,915,177 5,745,532 2,872,766 1,436,383

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