1,362,520

2³ × 5 × 23 × 1481

1,362,520 factors as 2^3 × 5 × 23 × 1481. Its 32 positive divisors give a proper-divisor sum of 1,838,600, so this integer is abundant. The Collatz stopping time is 62 steps.

Prime Factor Structure

Factorization String 2^3 × 5 × 23 × 1481

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 3,201,120

Proper Divisor Sum 1,838,600

Digit Sum / Digital Root 19 (Root: 1)

Adjacent Primes #1362511 ← → #1362521

Radix Representation

Decimal	1362520
Binary	101001100101001011000 (21 bits)
Octal	0o5145130
Hexadecimal	0x14CA58

Divisor Catalog (32)

1 2 4 5 8 10 20 23 40 46 92 115 184 230 460 920 1,481 2,962 5,924 7,405 11,848 14,810 29,620 34,063 59,240 68,126 136,252 170,315 272,504 340,630 681,260 1,362,520

Collatz Trajectory (62 steps to reach 1)

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

1,362,520 681,260 340,630 170,315 510,946 255,473 766,420 383,210 191,605 574,816 287,408 143,704 71,852 35,926 17,963 53,890 26,945 80,836 40,418 20,209 60,628 30,314 15,157 45,472 22,736 11,368 5,684 2,842 1,421 4,264 2,132 1,066 533 1,600 800 400 200 100 50 25 76 38 19 58 29 88 44 22 11 34 17 52 26 13 40 20 10 5 16 8

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