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Atlas › Integer Profiles › Node 4,630,674

4,630,674

2 × 3 × 59 × 103 × 127
Abundant Even Composite

4,630,674 factors as 2 × 3 × 59 × 103 × 127. Its 32 positive divisors give a proper-divisor sum of 4,953,966, so this integer is abundant. The Collatz stopping time is 268 steps.

Prime Factor Structure

Factorization String 2 × 3 × 59 × 103 × 127
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 9,584,640
Proper Divisor Sum 4,953,966
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #4630673 ← → #4630697

Radix Representation

Decimal 4630674
Binary 10001101010100010010010 (23 bits)
Octal 0o21524222
Hexadecimal 0x46A892

Divisor Catalog (32)

1 2 3 6 59 103 118 127 177 206 254 309 354 381 618 762 6,077 7,493 12,154 13,081 14,986 18,231 22,479 26,162 36,462 39,243 44,958 78,486 771,779 1,543,558 2,315,337 4,630,674

Collatz Trajectory (268 steps to reach 1)

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

4,630,674 2,315,337 6,946,012 3,473,006 1,736,503 5,209,510 2,604,755 7,814,266 3,907,133 11,721,400 5,860,700 2,930,350 1,465,175 4,395,526 2,197,763 6,593,290 3,296,645 9,889,936 4,944,968 2,472,484 1,236,242 618,121 1,854,364 927,182 463,591 1,390,774 695,387 2,086,162 1,043,081 3,129,244 1,564,622 782,311 2,346,934 1,173,467 3,520,402 1,760,201 5,280,604 2,640,302 1,320,151 3,960,454 1,980,227 5,940,682 2,970,341 8,911,024 4,455,512 2,227,756 1,113,878 556,939 1,670,818 835,409 2,506,228 1,253,114 626,557 1,879,672 939,836 469,918 234,959 704,878 352,439 1,057,318

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