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Atlas › Integer Profiles › Node 29,670,940

29,670,940

22 × 5 × 13 × 139 × 821
Abundant Even Composite

29,670,940 factors as 2^2 × 5 × 13 × 139 × 821. Its 48 positive divisors give a proper-divisor sum of 37,996,100, so this integer is abundant. The Collatz stopping time is 237 steps.

Prime Factor Structure

Factorization String 2^2 × 5 × 13 × 139 × 821
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 67,667,040
Proper Divisor Sum 37,996,100
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #29670931 ← → #29670947

Radix Representation

Decimal 29670940
Binary 1110001001011111000011100 (25 bits)
Octal 0o161137034
Hexadecimal 0x1C4BE1C

Divisor Catalog (48)

1 2 4 5 10 13 20 26 52 65 130 139 260 278 556 695 821 1,390 1,642 1,807 2,780 3,284 3,614 4,105 7,228 8,210 9,035 10,673 16,420 18,070 21,346 36,140 42,692 53,365 106,730 114,119 213,460 228,238 456,476 570,595 1,141,190 1,483,547 2,282,380 2,967,094 5,934,188 7,417,735 14,835,470 29,670,940

Collatz Trajectory (237 steps to reach 1)

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

29,670,940 14,835,470 7,417,735 22,253,206 11,126,603 33,379,810 16,689,905 50,069,716 25,034,858 12,517,429 37,552,288 18,776,144 9,388,072 4,694,036 2,347,018 1,173,509 3,520,528 1,760,264 880,132 440,066 220,033 660,100 330,050 165,025 495,076 247,538 123,769 371,308 185,654 92,827 278,482 139,241 417,724 208,862 104,431 313,294 156,647 469,942 234,971 704,914 352,457 1,057,372 528,686 264,343 793,030 396,515 1,189,546 594,773 1,784,320 892,160 446,080 223,040 111,520 55,760 27,880 13,940 6,970 3,485 10,456 5,228

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