1,401,820

2² × 5 × 7 × 17 × 19 × 31

1,401,820 factors as 2^2 × 5 × 7 × 17 × 19 × 31. Its 96 positive divisors give a proper-divisor sum of 2,468,900, so this integer is abundant. The Collatz stopping time is 106 steps.

Prime Factor Structure

Factorization String 2^2 × 5 × 7 × 17 × 19 × 31

Distinct Prime Factors 6

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 3,870,720

Proper Divisor Sum 2,468,900

Digit Sum / Digital Root 16 (Root: 7)

Adjacent Primes #1401817 ← → #1401821

Radix Representation

Decimal	1401820
Binary	101010110001111011100 (21 bits)
Octal	0o5261734
Hexadecimal	0x1563DC

Divisor Catalog (60 of 96)

1 2 4 5 7 10 14 17 19 20 28 31 34 35 38 62 68 70 76 85 95 119 124 133 140 155 170 190 217 238 266 310 323 340 380 434 476 527 532 589 595 620 646 665 868 1,054 1,085 1,178 1,190 1,292 1,330 1,615 2,108 2,170 2,261 2,356 2,380 2,635 2,660 2,945

Collatz Trajectory (106 steps to reach 1)

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

1,401,820 700,910 350,455 1,051,366 525,683 1,577,050 788,525 2,365,576 1,182,788 591,394 295,697 887,092 443,546 221,773 665,320 332,660 166,330 83,165 249,496 124,748 62,374 31,187 93,562 46,781 140,344 70,172 35,086 17,543 52,630 26,315 78,946 39,473 118,420 59,210 29,605 88,816 44,408 22,204 11,102 5,551 16,654 8,327 24,982 12,491 37,474 18,737 56,212 28,106 14,053 42,160 21,080 10,540 5,270 2,635 7,906 3,953 11,860 5,930 2,965 8,896

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