λ
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Atlas › Integer Profiles › Node 30,716,004

30,716,004

22 × 3 × 11 × 47 × 4951
Abundant Even Composite

30,716,004 factors as 2^2 × 3 × 11 × 47 × 4951. Its 48 positive divisors give a proper-divisor sum of 49,149,852, so this integer is abundant. The Collatz stopping time is 211 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 11 × 47 × 4951
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 79,865,856
Proper Divisor Sum 49,149,852
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #30716003 ← → #30716029

Radix Representation

Decimal 30716004
Binary 1110101001011000001100100 (25 bits)
Octal 0o165130144
Hexadecimal 0x1D4B064

Divisor Catalog (48)

1 2 3 4 6 11 12 22 33 44 47 66 94 132 141 188 282 517 564 1,034 1,551 2,068 3,102 4,951 6,204 9,902 14,853 19,804 29,706 54,461 59,412 108,922 163,383 217,844 232,697 326,766 465,394 653,532 698,091 930,788 1,396,182 2,559,667 2,792,364 5,119,334 7,679,001 10,238,668 15,358,002 30,716,004

Collatz Trajectory (211 steps to reach 1)

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

30,716,004 15,358,002 7,679,001 23,037,004 11,518,502 5,759,251 17,277,754 8,638,877 25,916,632 12,958,316 6,479,158 3,239,579 9,718,738 4,859,369 14,578,108 7,289,054 3,644,527 10,933,582 5,466,791 16,400,374 8,200,187 24,600,562 12,300,281 36,900,844 18,450,422 9,225,211 27,675,634 13,837,817 41,513,452 20,756,726 10,378,363 31,135,090 15,567,545 46,702,636 23,351,318 11,675,659 35,026,978 17,513,489 52,540,468 26,270,234 13,135,117 39,405,352 19,702,676 9,851,338 4,925,669 14,777,008 7,388,504 3,694,252 1,847,126 923,563 2,770,690 1,385,345 4,156,036 2,078,018 1,039,009 3,117,028 1,558,514 779,257 2,337,772 1,168,886

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