λ
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Atlas › Integer Profiles › Node 31,234,048

31,234,048

211 × 101 × 151
Abundant Even Composite

31,234,048 factors as 2^11 × 101 × 151. Its 48 positive divisors give a proper-divisor sum of 32,254,832, so this integer is abundant. The Collatz stopping time is 95 steps.

Prime Factor Structure

Factorization String 2^11 × 101 × 151
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 63,488,880
Proper Divisor Sum 32,254,832
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #31234009 ← → #31234061

Radix Representation

Decimal 31234048
Binary 1110111001001100000000000 (25 bits)
Octal 0o167114000
Hexadecimal 0x1DC9800

Divisor Catalog (48)

1 2 4 8 16 32 64 101 128 151 202 256 302 404 512 604 808 1,024 1,208 1,616 2,048 2,416 3,232 4,832 6,464 9,664 12,928 15,251 19,328 25,856 30,502 38,656 51,712 61,004 77,312 103,424 122,008 154,624 206,848 244,016 309,248 488,032 976,064 1,952,128 3,904,256 7,808,512 15,617,024 31,234,048

Collatz Trajectory (95 steps to reach 1)

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

31,234,048 15,617,024 7,808,512 3,904,256 1,952,128 976,064 488,032 244,016 122,008 61,004 30,502 15,251 45,754 22,877 68,632 34,316 17,158 8,579 25,738 12,869 38,608 19,304 9,652 4,826 2,413 7,240 3,620 1,810 905 2,716 1,358 679 2,038 1,019 3,058 1,529 4,588 2,294 1,147 3,442 1,721 5,164 2,582 1,291 3,874 1,937 5,812 2,906 1,453 4,360 2,180 1,090 545 1,636 818 409 1,228 614 307 922

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