2,177,565

3 × 5 × 13² × 859

For 2,177,565, the 24 positive divisors have a total of 3,777,120. Removing 2,177,565 leaves 1,599,555, which gives the deficient classification.

Prime Factor Structure

Factorization String 3 × 5 × 13^2 × 859

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 3,777,120

Proper Divisor Sum 1,599,555

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #2177537 ← → #2177569

Radix Representation

Decimal	2177565
Binary	1000010011101000011101 (22 bits)
Octal	0o10235035
Hexadecimal	0x213A1D

Divisor Catalog (24)

1 3 5 13 15 39 65 169 195 507 845 859 2,535 2,577 4,295 11,167 12,885 33,501 55,835 145,171 167,505 435,513 725,855 2,177,565

Collatz Trajectory (117 steps to reach 1)

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

2,177,565 6,532,696 3,266,348 1,633,174 816,587 2,449,762 1,224,881 3,674,644 1,837,322 918,661 2,755,984 1,377,992 688,996 344,498 172,249 516,748 258,374 129,187 387,562 193,781 581,344 290,672 145,336 72,668 36,334 18,167 54,502 27,251 81,754 40,877 122,632 61,316 30,658 15,329 45,988 22,994 11,497 34,492 17,246 8,623 25,870 12,935 38,806 19,403 58,210 29,105 87,316 43,658 21,829 65,488 32,744 16,372 8,186 4,093 12,280 6,140 3,070 1,535 4,606 2,303

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