1,246,700

2² × 5² × 7 × 13 × 137

1,246,700 factors as 2^2 × 5^2 × 7 × 13 × 137. Its 72 positive divisors give a proper-divisor sum of 2,107,252, so this integer is abundant. The Collatz stopping time is 186 steps.

Prime Factor Structure

Factorization String 2^2 × 5^2 × 7 × 13 × 137

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 72

Divisor Sum (σ) 3,353,952

Proper Divisor Sum 2,107,252

Digit Sum / Digital Root 20 (Root: 2)

Adjacent Primes #1246697 ← → #1246703

Radix Representation

Decimal	1246700
Binary	100110000010111101100 (21 bits)
Octal	0o4602754
Hexadecimal	0x1305EC

Divisor Catalog (60 of 72)

1 2 4 5 7 10 13 14 20 25 26 28 35 50 52 65 70 91 100 130 137 140 175 182 260 274 325 350 364 455 548 650 685 700 910 959 1,300 1,370 1,781 1,820 1,918 2,275 2,740 3,425 3,562 3,836 4,550 4,795 6,850 7,124 8,905 9,100 9,590 12,467 13,700 17,810 19,180 23,975 24,934 35,620

Collatz Trajectory (186 steps to reach 1)

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

1,246,700 623,350 311,675 935,026 467,513 1,402,540 701,270 350,635 1,051,906 525,953 1,577,860 788,930 394,465 1,183,396 591,698 295,849 887,548 443,774 221,887 665,662 332,831 998,494 499,247 1,497,742 748,871 2,246,614 1,123,307 3,369,922 1,684,961 5,054,884 2,527,442 1,263,721 3,791,164 1,895,582 947,791 2,843,374 1,421,687 4,265,062 2,132,531 6,397,594 3,198,797 9,596,392 4,798,196 2,399,098 1,199,549 3,598,648 1,799,324 899,662 449,831 1,349,494 674,747 2,024,242 1,012,121 3,036,364 1,518,182 759,091 2,277,274 1,138,637 3,415,912 1,707,956

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