3,577,341

3 × 53 × 149 × 151

3,577,341 factors as 3 × 53 × 149 × 151. Its 16 positive divisors give a proper-divisor sum of 1,347,459, so this integer is deficient. The Collatz stopping time is 234 steps.

Prime Factor Structure

Factorization String 3 × 53 × 149 × 151

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 4,924,800

Proper Divisor Sum 1,347,459

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #3577337 ← → #3577349

Radix Representation

Decimal	3577341
Binary	1101101001010111111101 (22 bits)
Octal	0o15512775
Hexadecimal	0x3695FD

Divisor Catalog (16)

1 3 53 149 151 159 447 453 7,897 8,003 22,499 23,691 24,009 67,497 1,192,447 3,577,341

Collatz Trajectory (234 steps to reach 1)

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

3,577,341 10,732,024 5,366,012 2,683,006 1,341,503 4,024,510 2,012,255 6,036,766 3,018,383 9,055,150 4,527,575 13,582,726 6,791,363 20,374,090 10,187,045 30,561,136 15,280,568 7,640,284 3,820,142 1,910,071 5,730,214 2,865,107 8,595,322 4,297,661 12,892,984 6,446,492 3,223,246 1,611,623 4,834,870 2,417,435 7,252,306 3,626,153 10,878,460 5,439,230 2,719,615 8,158,846 4,079,423 12,238,270 6,119,135 18,357,406 9,178,703 27,536,110 13,768,055 41,304,166 20,652,083 61,956,250 30,978,125 92,934,376 46,467,188 23,233,594 11,616,797 34,850,392 17,425,196 8,712,598 4,356,299 13,068,898 6,534,449 19,603,348 9,801,674 4,900,837

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