9,972,572

2² × 167 × 14929

9,972,572 has digital root 5. The neighboring primes are 9972569 and 9972577; its proper-divisor sum differs from the starting integer by -2,387,464.

Prime Factor Structure

Factorization String 2^2 × 167 × 14929

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 17,557,680

Proper Divisor Sum 7,585,108

Digit Sum / Digital Root 41 (Root: 5)

Adjacent Primes #9972569 ← → #9972577

Radix Representation

Decimal	9972572
Binary	100110000010101101011100 (24 bits)
Octal	0o46025534
Hexadecimal	0x982B5C

Divisor Catalog (12)

1 2 4 167 334 668 14,929 29,858 59,716 2,493,143 4,986,286 9,972,572

Collatz Trajectory (114 steps to reach 1)

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

9,972,572 4,986,286 2,493,143 7,479,430 3,739,715 11,219,146 5,609,573 16,828,720 8,414,360 4,207,180 2,103,590 1,051,795 3,155,386 1,577,693 4,733,080 2,366,540 1,183,270 591,635 1,774,906 887,453 2,662,360 1,331,180 665,590 332,795 998,386 499,193 1,497,580 748,790 374,395 1,123,186 561,593 1,684,780 842,390 421,195 1,263,586 631,793 1,895,380 947,690 473,845 1,421,536 710,768 355,384 177,692 88,846 44,423 133,270 66,635 199,906 99,953 299,860 149,930 74,965 224,896 112,448 56,224 28,112 14,056 7,028 3,514 1,757

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