9,707,464

2³ × 13 × 31 × 3011

9,707,464 has the prime decomposition 2^3 × 13 × 31 × 3011. Its 4 distinct prime factors produce 32 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 13 × 31 × 3011

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 20,240,640

Proper Divisor Sum 10,533,176

Digit Sum / Digital Root 37 (Root: 1)

Adjacent Primes #9707443 ← → #9707471

Radix Representation

Decimal	9707464
Binary	100101000001111111001000 (24 bits)
Octal	0o45017710
Hexadecimal	0x941FC8

Divisor Catalog (32)

1 2 4 8 13 26 31 52 62 104 124 248 403 806 1,612 3,011 3,224 6,022 12,044 24,088 39,143 78,286 93,341 156,572 186,682 313,144 373,364 746,728 1,213,433 2,426,866 4,853,732 9,707,464

Collatz Trajectory (269 steps to reach 1)

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

9,707,464 4,853,732 2,426,866 1,213,433 3,640,300 1,820,150 910,075 2,730,226 1,365,113 4,095,340 2,047,670 1,023,835 3,071,506 1,535,753 4,607,260 2,303,630 1,151,815 3,455,446 1,727,723 5,183,170 2,591,585 7,774,756 3,887,378 1,943,689 5,831,068 2,915,534 1,457,767 4,373,302 2,186,651 6,559,954 3,279,977 9,839,932 4,919,966 2,459,983 7,379,950 3,689,975 11,069,926 5,534,963 16,604,890 8,302,445 24,907,336 12,453,668 6,226,834 3,113,417 9,340,252 4,670,126 2,335,063 7,005,190 3,502,595 10,507,786 5,253,893 15,761,680 7,880,840 3,940,420 1,970,210 985,105 2,955,316 1,477,658 738,829 2,216,488

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