97,537,264

2⁴ × 11 × 554189

97,537,264 factors as 2^4 × 11 × 554189. Its 20 positive divisors give a proper-divisor sum of 108,621,416, so this integer is abundant. The Collatz stopping time is 231 steps.

Prime Factor Structure

Factorization String 2^4 × 11 × 554189

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 20

Divisor Sum (σ) 206,158,680

Proper Divisor Sum 108,621,416

Digit Sum / Digital Root 43 (Root: 7)

Adjacent Primes #97537259 ← → #97537289

Radix Representation

Decimal	97537264
Binary	101110100000100110011110000 (27 bits)
Octal	0o564046360
Hexadecimal	0x5D04CF0

Divisor Catalog (20)

Collatz Trajectory (231 steps to reach 1)

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

97,537,264 48,768,632 24,384,316 12,192,158 6,096,079 18,288,238 9,144,119 27,432,358 13,716,179 41,148,538 20,574,269 61,722,808 30,861,404 15,430,702 7,715,351 23,146,054 11,573,027 34,719,082 17,359,541 52,078,624 26,039,312 13,019,656 6,509,828 3,254,914 1,627,457 4,882,372 2,441,186 1,220,593 3,661,780 1,830,890 915,445 2,746,336 1,373,168 686,584 343,292 171,646 85,823 257,470 128,735 386,206 193,103 579,310 289,655 868,966 434,483 1,303,450 651,725 1,955,176 977,588 488,794 244,397 733,192 366,596 183,298 91,649 274,948 137,474 68,737 206,212 103,106

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