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Atlas › Integer Profiles › Node 2,863,497

2,863,497

3 × 7 × 13 × 17 × 617
Deficient Odd Composite

2,863,497 factors as 3 × 7 × 13 × 17 × 617. Its 32 positive divisors give a proper-divisor sum of 2,120,055, so this integer is deficient. The Collatz stopping time is 156 steps.

Prime Factor Structure

Factorization String 3 × 7 × 13 × 17 × 617
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 4,983,552
Proper Divisor Sum 2,120,055
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #2863493 ← → #2863517

Radix Representation

Decimal 2863497
Binary 1010111011000110001001 (22 bits)
Octal 0o12730611
Hexadecimal 0x2BB189

Divisor Catalog (32)

1 3 7 13 17 21 39 51 91 119 221 273 357 617 663 1,547 1,851 4,319 4,641 8,021 10,489 12,957 24,063 31,467 56,147 73,423 136,357 168,441 220,269 409,071 954,499 2,863,497

Collatz Trajectory (156 steps to reach 1)

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

2,863,497 8,590,492 4,295,246 2,147,623 6,442,870 3,221,435 9,664,306 4,832,153 14,496,460 7,248,230 3,624,115 10,872,346 5,436,173 16,308,520 8,154,260 4,077,130 2,038,565 6,115,696 3,057,848 1,528,924 764,462 382,231 1,146,694 573,347 1,720,042 860,021 2,580,064 1,290,032 645,016 322,508 161,254 80,627 241,882 120,941 362,824 181,412 90,706 45,353 136,060 68,030 34,015 102,046 51,023 153,070 76,535 229,606 114,803 344,410 172,205 516,616 258,308 129,154 64,577 193,732 96,866 48,433 145,300 72,650 36,325 108,976

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