10,072,597

23 × 53 × 8263

10,072,597 factors as 23 × 53 × 8263. Its 8 positive divisors give a proper-divisor sum of 637,547, so this integer is deficient. The Collatz stopping time is 114 steps.

Prime Factor Structure

Factorization String 23 × 53 × 8263

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 10,710,144

Proper Divisor Sum 637,547

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #10072591 ← → #10072607

Radix Representation

Decimal	10072597
Binary	100110011011001000010101 (24 bits)
Octal	0o46331025
Hexadecimal	0x99B215

Divisor Catalog (8)

1 23 53 1,219 8,263 190,049 437,939 10,072,597

Collatz Trajectory (114 steps to reach 1)

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

10,072,597 30,217,792 15,108,896 7,554,448 3,777,224 1,888,612 944,306 472,153 1,416,460 708,230 354,115 1,062,346 531,173 1,593,520 796,760 398,380 199,190 99,595 298,786 149,393 448,180 224,090 112,045 336,136 168,068 84,034 42,017 126,052 63,026 31,513 94,540 47,270 23,635 70,906 35,453 106,360 53,180 26,590 13,295 39,886 19,943 59,830 29,915 89,746 44,873 134,620 67,310 33,655 100,966 50,483 151,450 75,725 227,176 113,588 56,794 28,397 85,192 42,596 21,298 10,649

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