2,355,792

2⁴ × 3 × 17 × 2887

2,355,792 factors as 2^4 × 3 × 17 × 2887. Its 40 positive divisors give a proper-divisor sum of 4,090,224, so this integer is abundant. The Collatz stopping time is 161 steps.

Prime Factor Structure

Factorization String 2^4 × 3 × 17 × 2887

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 40

Divisor Sum (σ) 6,446,016

Proper Divisor Sum 4,090,224

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #2355763 ← → #2355799

Radix Representation

Decimal	2355792
Binary	1000111111001001010000 (22 bits)
Octal	0o10771120
Hexadecimal	0x23F250

Divisor Catalog (40)

1 2 3 4 6 8 12 16 17 24 34 48 51 68 102 136 204 272 408 816 2,887 5,774 8,661 11,548 17,322 23,096 34,644 46,192 49,079 69,288 98,158 138,576 147,237 196,316 294,474 392,632 588,948 785,264 1,177,896 2,355,792

Collatz Trajectory (161 steps to reach 1)

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

2,355,792 1,177,896 588,948 294,474 147,237 441,712 220,856 110,428 55,214 27,607 82,822 41,411 124,234 62,117 186,352 93,176 46,588 23,294 11,647 34,942 17,471 52,414 26,207 78,622 39,311 117,934 58,967 176,902 88,451 265,354 132,677 398,032 199,016 99,508 49,754 24,877 74,632 37,316 18,658 9,329 27,988 13,994 6,997 20,992 10,496 5,248 2,624 1,312 656 328 164 82 41 124 62 31 94 47 142 71

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