1,429,335

3² × 5 × 23 × 1381

1,429,335 is odd and not a perfect square. Its factorization is 3^2 × 5 × 23 × 1381 and its 24 divisors sum to 2,587,104.

Prime Factor Structure

Factorization String 3^2 × 5 × 23 × 1381

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 2,587,104

Proper Divisor Sum 1,157,769

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #1429319 ← → #1429349

Radix Representation

Decimal	1429335
Binary	101011100111101010111 (21 bits)
Octal	0o5347527
Hexadecimal	0x15CF57

Divisor Catalog (24)

1 3 5 9 15 23 45 69 115 207 345 1,035 1,381 4,143 6,905 12,429 20,715 31,763 62,145 95,289 158,815 285,867 476,445 1,429,335

Collatz Trajectory (106 steps to reach 1)

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

1,429,335 4,288,006 2,144,003 6,432,010 3,216,005 9,648,016 4,824,008 2,412,004 1,206,002 603,001 1,809,004 904,502 452,251 1,356,754 678,377 2,035,132 1,017,566 508,783 1,526,350 763,175 2,289,526 1,144,763 3,434,290 1,717,145 5,151,436 2,575,718 1,287,859 3,863,578 1,931,789 5,795,368 2,897,684 1,448,842 724,421 2,173,264 1,086,632 543,316 271,658 135,829 407,488 203,744 101,872 50,936 25,468 12,734 6,367 19,102 9,551 28,654 14,327 42,982 21,491 64,474 32,237 96,712 48,356 24,178 12,089 36,268 18,134 9,067

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