λ
Integer Codex

1,396,272

24 × 3 × 19 × 1531
Abundant Even Composite

For 1,396,272, the 40 positive divisors have a total of 3,799,360. Removing 1,396,272 leaves 2,403,088, which gives the abundant classification.

Prime Factor Structure

Factorization String 2^4 × 3 × 19 × 1531
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 3,799,360
Proper Divisor Sum 2,403,088
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #1396259 ← → #1396273

Radix Representation

Decimal 1396272
Binary 101010100111000110000 (21 bits)
Octal 0o5247060
Hexadecimal 0x154E30

Divisor Catalog (40)

1 2 3 4 6 8 12 16 19 24 38 48 57 76 114 152 228 304 456 912 1,531 3,062 4,593 6,124 9,186 12,248 18,372 24,496 29,089 36,744 58,178 73,488 87,267 116,356 174,534 232,712 349,068 465,424 698,136 1,396,272

Collatz Trajectory (75 steps to reach 1)

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

1,396,272 698,136 349,068 174,534 87,267 261,802 130,901 392,704 196,352 98,176 49,088 24,544 12,272 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 26,242 13,121 39,364 19,682 9,841 29,524 14,762 7,381 22,144 11,072 5,536 2,768 1,384 692 346 173 520 260 130 65 196 98 49 148 74 37 112 56 28 14 7

More profiles

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