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Atlas › Integer Profiles › Node 3,482,871

3,482,871

3 × 72 × 19 × 29 × 43
Deficient Odd Composite

3,482,871 factors as 3 × 7^2 × 19 × 29 × 43. Its 48 positive divisors give a proper-divisor sum of 2,536,329, so this integer is deficient. The Collatz stopping time is 84 steps.

Prime Factor Structure

Factorization String 3 × 7^2 × 19 × 29 × 43
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 6,019,200
Proper Divisor Sum 2,536,329
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #3482851 ← → #3482887

Radix Representation

Decimal 3482871
Binary 1101010010010011110111 (22 bits)
Octal 0o15222367
Hexadecimal 0x3524F7

Divisor Catalog (48)

1 3 7 19 21 29 43 49 57 87 129 133 147 203 301 399 551 609 817 903 931 1,247 1,421 1,653 2,107 2,451 2,793 3,741 3,857 4,263 5,719 6,321 8,729 11,571 17,157 23,693 26,187 26,999 40,033 61,103 71,079 80,997 120,099 165,851 183,309 497,553 1,160,957 3,482,871

Collatz Trajectory (84 steps to reach 1)

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

3,482,871 10,448,614 5,224,307 15,672,922 7,836,461 23,509,384 11,754,692 5,877,346 2,938,673 8,816,020 4,408,010 2,204,005 6,612,016 3,306,008 1,653,004 826,502 413,251 1,239,754 619,877 1,859,632 929,816 464,908 232,454 116,227 348,682 174,341 523,024 261,512 130,756 65,378 32,689 98,068 49,034 24,517 73,552 36,776 18,388 9,194 4,597 13,792 6,896 3,448 1,724 862 431 1,294 647 1,942 971 2,914 1,457 4,372 2,186 1,093 3,280 1,640 820 410 205 616

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