952,749

3³ × 7 × 71²

952,749 has digital root 9. The neighboring primes are 952741 and 952753; its proper-divisor sum differs from the starting integer by -269,338.

Prime Factor Structure

Factorization String 3^3 × 7 × 71^2

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 1,636,160

Proper Divisor Sum 683,411

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #952741 ← → #952753

Radix Representation

Decimal	952749
Binary	11101000100110101101 (20 bits)
Octal	0o3504655
Hexadecimal	0xE89AD

Divisor Catalog (24)

1 3 7 9 21 27 63 71 189 213 497 639 1,491 1,917 4,473 5,041 13,419 15,123 35,287 45,369 105,861 136,107 317,583 952,749

Collatz Trajectory (77 steps to reach 1)

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

952,749 2,858,248 1,429,124 714,562 357,281 1,071,844 535,922 267,961 803,884 401,942 200,971 602,914 301,457 904,372 452,186 226,093 678,280 339,140 169,570 84,785 254,356 127,178 63,589 190,768 95,384 47,692 23,846 11,923 35,770 17,885 53,656 26,828 13,414 6,707 20,122 10,061 30,184 15,092 7,546 3,773 11,320 5,660 2,830 1,415 4,246 2,123 6,370 3,185 9,556 4,778 2,389 7,168 3,584 1,792 896 448 224 112 56 28

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