λ
Integer Codex

1,437,260

22 × 5 × 11 × 47 × 139
Abundant Even Composite

For 1,437,260, the 48 positive divisors have a total of 3,386,880. Removing 1,437,260 leaves 1,949,620, which gives the abundant classification.

Prime Factor Structure

Factorization String 2^2 × 5 × 11 × 47 × 139
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 3,386,880
Proper Divisor Sum 1,949,620
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #1437257 ← → #1437263

Radix Representation

Decimal 1437260
Binary 101011110111001001100 (21 bits)
Octal 0o5367114
Hexadecimal 0x15EE4C

Divisor Catalog (48)

1 2 4 5 10 11 20 22 44 47 55 94 110 139 188 220 235 278 470 517 556 695 940 1,034 1,390 1,529 2,068 2,585 2,780 3,058 5,170 6,116 6,533 7,645 10,340 13,066 15,290 26,132 30,580 32,665 65,330 71,863 130,660 143,726 287,452 359,315 718,630 1,437,260

Collatz Trajectory (75 steps to reach 1)

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

1,437,260 718,630 359,315 1,077,946 538,973 1,616,920 808,460 404,230 202,115 606,346 303,173 909,520 454,760 227,380 113,690 56,845 170,536 85,268 42,634 21,317 63,952 31,976 15,988 7,994 3,997 11,992 5,996 2,998 1,499 4,498 2,249 6,748 3,374 1,687 5,062 2,531 7,594 3,797 11,392 5,696 2,848 1,424 712 356 178 89 268 134 67 202 101 304 152 76 38 19 58 29 88 44

More profiles

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