29,527,576

2³ × 13 × 97 × 2927

29,527,576 factors as 2^3 × 13 × 97 × 2927. Its 32 positive divisors give a proper-divisor sum of 30,730,664, so this integer is abundant. The Collatz stopping time is 268 steps.

Prime Factor Structure

Factorization String 2^3 × 13 × 97 × 2927

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 60,258,240

Proper Divisor Sum 30,730,664

Digit Sum / Digital Root 43 (Root: 7)

Adjacent Primes #29527549 ← → #29527601

Radix Representation

Decimal	29527576
Binary	1110000101000111000011000 (25 bits)
Octal	0o160507030
Hexadecimal	0x1C28E18

Divisor Catalog (32)

Collatz Trajectory (268 steps to reach 1)

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

29,527,576 14,763,788 7,381,894 3,690,947 11,072,842 5,536,421 16,609,264 8,304,632 4,152,316 2,076,158 1,038,079 3,114,238 1,557,119 4,671,358 2,335,679 7,007,038 3,503,519 10,510,558 5,255,279 15,765,838 7,882,919 23,648,758 11,824,379 35,473,138 17,736,569 53,209,708 26,604,854 13,302,427 39,907,282 19,953,641 59,860,924 29,930,462 14,965,231 44,895,694 22,447,847 67,343,542 33,671,771 101,015,314 50,507,657 151,522,972 75,761,486 37,880,743 113,642,230 56,821,115 170,463,346 85,231,673 255,695,020 127,847,510 63,923,755 191,771,266 95,885,633 287,656,900 143,828,450 71,914,225 215,742,676 107,871,338 53,935,669 161,807,008 80,903,504 40,451,752

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