46,972,660

2² × 5 × 7 × 335519

46,972,660 factors as 2^2 × 5 × 7 × 335519. Its 24 positive divisors give a proper-divisor sum of 65,762,060, so this integer is abundant. The Collatz stopping time is 178 steps.

Prime Factor Structure

Factorization String 2^2 × 5 × 7 × 335519

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 112,734,720

Proper Divisor Sum 65,762,060

Digit Sum / Digital Root 40 (Root: 4)

Adjacent Primes #46972603 ← → #46972669

Radix Representation

Decimal	46972660
Binary	10110011001011111011110100 (26 bits)
Octal	0o263137364
Hexadecimal	0x2CCBEF4

Divisor Catalog (24)

Collatz Trajectory (178 steps to reach 1)

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

46,972,660 23,486,330 11,743,165 35,229,496 17,614,748 8,807,374 4,403,687 13,211,062 6,605,531 19,816,594 9,908,297 29,724,892 14,862,446 7,431,223 22,293,670 11,146,835 33,440,506 16,720,253 50,160,760 25,080,380 12,540,190 6,270,095 18,810,286 9,405,143 28,215,430 14,107,715 42,323,146 21,161,573 63,484,720 31,742,360 15,871,180 7,935,590 3,967,795 11,903,386 5,951,693 17,855,080 8,927,540 4,463,770 2,231,885 6,695,656 3,347,828 1,673,914 836,957 2,510,872 1,255,436 627,718 313,859 941,578 470,789 1,412,368 706,184 353,092 176,546 88,273 264,820 132,410 66,205 198,616 99,308 49,654

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