λ
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Atlas › Integer Profiles › Node 8,596,158

8,596,158

2 × 3 × 23 × 167 × 373
Abundant Even Composite

8,596,158 factors as 2 × 3 × 23 × 167 × 373. Its 32 positive divisors give a proper-divisor sum of 9,499,458, so this integer is abundant. The Collatz stopping time is 155 steps.

Prime Factor Structure

Factorization String 2 × 3 × 23 × 167 × 373
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 18,095,616
Proper Divisor Sum 9,499,458
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #8596157 ← → #8596171

Radix Representation

Decimal 8596158
Binary 100000110010101010111110 (24 bits)
Octal 0o40625276
Hexadecimal 0x832ABE

Divisor Catalog (32)

1 2 3 6 23 46 69 138 167 334 373 501 746 1,002 1,119 2,238 3,841 7,682 8,579 11,523 17,158 23,046 25,737 51,474 62,291 124,582 186,873 373,746 1,432,693 2,865,386 4,298,079 8,596,158

Collatz Trajectory (155 steps to reach 1)

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

8,596,158 4,298,079 12,894,238 6,447,119 19,341,358 9,670,679 29,012,038 14,506,019 43,518,058 21,759,029 65,277,088 32,638,544 16,319,272 8,159,636 4,079,818 2,039,909 6,119,728 3,059,864 1,529,932 764,966 382,483 1,147,450 573,725 1,721,176 860,588 430,294 215,147 645,442 322,721 968,164 484,082 242,041 726,124 363,062 181,531 544,594 272,297 816,892 408,446 204,223 612,670 306,335 919,006 459,503 1,378,510 689,255 2,067,766 1,033,883 3,101,650 1,550,825 4,652,476 2,326,238 1,163,119 3,489,358 1,744,679 5,234,038 2,617,019 7,851,058 3,925,529 11,776,588

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