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Atlas › Integer Profiles › Node 4,485,285

4,485,285

32 × 5 × 7 × 29 × 491
Abundant Odd Composite

4,485,285 factors as 3^2 × 5 × 7 × 29 × 491. Its 48 positive divisors give a proper-divisor sum of 4,724,955, so this integer is abundant. The Collatz stopping time is 87 steps.

Prime Factor Structure

Factorization String 3^2 × 5 × 7 × 29 × 491
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 9,210,240
Proper Divisor Sum 4,724,955
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #4485223 ← → #4485301

Radix Representation

Decimal 4485285
Binary 10001000111000010100101 (23 bits)
Octal 0o21070245
Hexadecimal 0x4470A5

Divisor Catalog (48)

1 3 5 7 9 15 21 29 35 45 63 87 105 145 203 261 315 435 491 609 1,015 1,305 1,473 1,827 2,455 3,045 3,437 4,419 7,365 9,135 10,311 14,239 17,185 22,095 30,933 42,717 51,555 71,195 99,673 128,151 154,665 213,585 299,019 498,365 640,755 897,057 1,495,095 4,485,285

Collatz Trajectory (87 steps to reach 1)

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

4,485,285 13,455,856 6,727,928 3,363,964 1,681,982 840,991 2,522,974 1,261,487 3,784,462 1,892,231 5,676,694 2,838,347 8,515,042 4,257,521 12,772,564 6,386,282 3,193,141 9,579,424 4,789,712 2,394,856 1,197,428 598,714 299,357 898,072 449,036 224,518 112,259 336,778 168,389 505,168 252,584 126,292 63,146 31,573 94,720 47,360 23,680 11,840 5,920 2,960 1,480 740 370 185 556 278 139 418 209 628 314 157 472 236 118 59 178 89 268 134

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