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Atlas › Integer Profiles › Node 31,032,001

31,032,001

7 × 11 × 13 × 29 × 1069
Deficient Odd Composite

31,032,001 factors as 7 × 11 × 13 × 29 × 1069. Its 32 positive divisors give a proper-divisor sum of 12,110,399, so this integer is deficient. The Collatz stopping time is 281 steps.

Prime Factor Structure

Factorization String 7 × 11 × 13 × 29 × 1069
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 43,142,400
Proper Divisor Sum 12,110,399
Digit Sum / Digital Root 10 (Root: 1)
Adjacent Primes #31031989 ← → #31032017

Radix Representation

Decimal 31032001
Binary 1110110011000001011000001 (25 bits)
Octal 0o166301301
Hexadecimal 0x1D982C1

Divisor Catalog (32)

1 7 11 13 29 77 91 143 203 319 377 1,001 1,069 2,233 2,639 4,147 7,483 11,759 13,897 29,029 31,001 82,313 97,279 152,867 217,007 341,011 403,013 1,070,069 2,387,077 2,821,091 4,433,143 31,032,001

Collatz Trajectory (281 steps to reach 1)

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

31,032,001 93,096,004 46,548,002 23,274,001 69,822,004 34,911,002 17,455,501 52,366,504 26,183,252 13,091,626 6,545,813 19,637,440 9,818,720 4,909,360 2,454,680 1,227,340 613,670 306,835 920,506 460,253 1,380,760 690,380 345,190 172,595 517,786 258,893 776,680 388,340 194,170 97,085 291,256 145,628 72,814 36,407 109,222 54,611 163,834 81,917 245,752 122,876 61,438 30,719 92,158 46,079 138,238 69,119 207,358 103,679 311,038 155,519 466,558 233,279 699,838 349,919 1,049,758 524,879 1,574,638 787,319 2,361,958 1,180,979

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