λ
Integer Codex

1,376,050

2 × 52 × 13 × 29 × 73
Abundant Even Composite

For 1,376,050, the 48 positive divisors have a total of 2,890,440. Removing 1,376,050 leaves 1,514,390, which gives the abundant classification.

Prime Factor Structure

Factorization String 2 × 5^2 × 13 × 29 × 73
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 2,890,440
Proper Divisor Sum 1,514,390
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #1376033 ← → #1376071

Radix Representation

Decimal 1376050
Binary 101001111111100110010 (21 bits)
Octal 0o5177462
Hexadecimal 0x14FF32

Divisor Catalog (48)

1 2 5 10 13 25 26 29 50 58 65 73 130 145 146 290 325 365 377 650 725 730 754 949 1,450 1,825 1,885 1,898 2,117 3,650 3,770 4,234 4,745 9,425 9,490 10,585 18,850 21,170 23,725 27,521 47,450 52,925 55,042 105,850 137,605 275,210 688,025 1,376,050

Collatz Trajectory (106 steps to reach 1)

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

1,376,050 688,025 2,064,076 1,032,038 516,019 1,548,058 774,029 2,322,088 1,161,044 580,522 290,261 870,784 435,392 217,696 108,848 54,424 27,212 13,606 6,803 20,410 10,205 30,616 15,308 7,654 3,827 11,482 5,741 17,224 8,612 4,306 2,153 6,460 3,230 1,615 4,846 2,423 7,270 3,635 10,906 5,453 16,360 8,180 4,090 2,045 6,136 3,068 1,534 767 2,302 1,151 3,454 1,727 5,182 2,591 7,774 3,887 11,662 5,831 17,494 8,747

More profiles

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