971,361

3² × 37 × 2917

971,361 has digital root 9. The neighboring primes are 971357 and 971371; its proper-divisor sum differs from the starting integer by -501,230.

Prime Factor Structure

Factorization String 3^2 × 37 × 2917

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 1,441,492

Proper Divisor Sum 470,131

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #971357 ← → #971371

Radix Representation

Decimal	971361
Binary	11101101001001100001 (20 bits)
Octal	0o3551141
Hexadecimal	0xED261

Divisor Catalog (12)

1 3 9 37 111 333 2,917 8,751 26,253 107,929 323,787 971,361

Collatz Trajectory (289 steps to reach 1)

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

971,361 2,914,084 1,457,042 728,521 2,185,564 1,092,782 546,391 1,639,174 819,587 2,458,762 1,229,381 3,688,144 1,844,072 922,036 461,018 230,509 691,528 345,764 172,882 86,441 259,324 129,662 64,831 194,494 97,247 291,742 145,871 437,614 218,807 656,422 328,211 984,634 492,317 1,476,952 738,476 369,238 184,619 553,858 276,929 830,788 415,394 207,697 623,092 311,546 155,773 467,320 233,660 116,830 58,415 175,246 87,623 262,870 131,435 394,306 197,153 591,460 295,730 147,865 443,596 221,798

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