1,542,410

2 × 5 × 17 × 43 × 211

For 1,542,410, the 32 positive divisors have a total of 3,022,272. Removing 1,542,410 leaves 1,479,862, which gives the deficient classification.

Prime Factor Structure

Factorization String 2 × 5 × 17 × 43 × 211

Distinct Prime Factors 5

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 3,022,272

Proper Divisor Sum 1,479,862

Digit Sum / Digital Root 17 (Root: 8)

Adjacent Primes #1542383 ← → #1542421

Radix Representation

Decimal	1542410
Binary	101111000100100001010 (21 bits)
Octal	0o5704412
Hexadecimal	0x17890A

Divisor Catalog (32)

1 2 5 10 17 34 43 85 86 170 211 215 422 430 731 1,055 1,462 2,110 3,587 3,655 7,174 7,310 9,073 17,935 18,146 35,870 45,365 90,730 154,241 308,482 771,205 1,542,410

Collatz Trajectory (101 steps to reach 1)

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

1,542,410 771,205 2,313,616 1,156,808 578,404 289,202 144,601 433,804 216,902 108,451 325,354 162,677 488,032 244,016 122,008 61,004 30,502 15,251 45,754 22,877 68,632 34,316 17,158 8,579 25,738 12,869 38,608 19,304 9,652 4,826 2,413 7,240 3,620 1,810 905 2,716 1,358 679 2,038 1,019 3,058 1,529 4,588 2,294 1,147 3,442 1,721 5,164 2,582 1,291 3,874 1,937 5,812 2,906 1,453 4,360 2,180 1,090 545 1,636

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