67,122,003

3 × 13 × 19 × 90583

67,122,003 factors as 3 × 13 × 19 × 90583. Its 16 positive divisors give a proper-divisor sum of 34,332,077, so this integer is deficient. The Collatz stopping time is 184 steps.

Prime Factor Structure

Factorization String 3 × 13 × 19 × 90583

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 101,454,080

Proper Divisor Sum 34,332,077

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #67121983 ← → #67122019

Radix Representation

Decimal	67122003
Binary	100000000000011001101010011 (27 bits)
Octal	0o400031523
Hexadecimal	0x4003353

Divisor Catalog (16)

1 3 13 19 39 57 247 741 90,583 271,749 1,177,579 1,721,077 3,532,737 5,163,231 22,374,001 67,122,003

Collatz Trajectory (184 steps to reach 1)

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

67,122,003 201,366,010 100,683,005 302,049,016 151,024,508 75,512,254 37,756,127 113,268,382 56,634,191 169,902,574 84,951,287 254,853,862 127,426,931 382,280,794 191,140,397 573,421,192 286,710,596 143,355,298 71,677,649 215,032,948 107,516,474 53,758,237 161,274,712 80,637,356 40,318,678 20,159,339 60,478,018 30,239,009 90,717,028 45,358,514 22,679,257 68,037,772 34,018,886 17,009,443 51,028,330 25,514,165 76,542,496 38,271,248 19,135,624 9,567,812 4,783,906 2,391,953 7,175,860 3,587,930 1,793,965 5,381,896 2,690,948 1,345,474 672,737 2,018,212 1,009,106 504,553 1,513,660 756,830 378,415 1,135,246 567,623 1,702,870 851,435 2,554,306

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