λ
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1,362,756

22 × 3 × 19 × 43 × 139
Abundant Even Composite

1,362,756 factors as 2^2 × 3 × 19 × 43 × 139. Its 48 positive divisors give a proper-divisor sum of 2,086,844, so this integer is abundant. The Collatz stopping time is 199 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 19 × 43 × 139
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 3,449,600
Proper Divisor Sum 2,086,844
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #1362731 ← → #1362761

Radix Representation

Decimal 1362756
Binary 101001100101101000100 (21 bits)
Octal 0o5145504
Hexadecimal 0x14CB44

Divisor Catalog (48)

1 2 3 4 6 12 19 38 43 57 76 86 114 129 139 172 228 258 278 417 516 556 817 834 1,634 1,668 2,451 2,641 3,268 4,902 5,282 5,977 7,923 9,804 10,564 11,954 15,846 17,931 23,908 31,692 35,862 71,724 113,563 227,126 340,689 454,252 681,378 1,362,756

Collatz Trajectory (199 steps to reach 1)

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

1,362,756 681,378 340,689 1,022,068 511,034 255,517 766,552 383,276 191,638 95,819 287,458 143,729 431,188 215,594 107,797 323,392 161,696 80,848 40,424 20,212 10,106 5,053 15,160 7,580 3,790 1,895 5,686 2,843 8,530 4,265 12,796 6,398 3,199 9,598 4,799 14,398 7,199 21,598 10,799 32,398 16,199 48,598 24,299 72,898 36,449 109,348 54,674 27,337 82,012 41,006 20,503 61,510 30,755 92,266 46,133 138,400 69,200 34,600 17,300 8,650

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