67,572,999

3² × 13 × 577547

67,572,999 factors as 3^2 × 13 × 577547. Its 12 positive divisors give a proper-divisor sum of 37,540,737, so this integer is deficient. The Collatz stopping time is 158 steps.

Prime Factor Structure

Factorization String 3^2 × 13 × 577547

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 105,113,736

Proper Divisor Sum 37,540,737

Digit Sum / Digital Root 54 (Root: 9)

Adjacent Primes #67572997 ← → #67573001

Radix Representation

Decimal	67572999
Binary	100000001110001010100000111 (27 bits)
Octal	0o401612407
Hexadecimal	0x4071507

Divisor Catalog (12)

1 3 9 13 39 117 577,547 1,732,641 5,197,923 7,508,111 22,524,333 67,572,999

Collatz Trajectory (158 steps to reach 1)

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

67,572,999 202,718,998 101,359,499 304,078,498 152,039,249 456,117,748 228,058,874 114,029,437 342,088,312 171,044,156 85,522,078 42,761,039 128,283,118 64,141,559 192,424,678 96,212,339 288,637,018 144,318,509 432,955,528 216,477,764 108,238,882 54,119,441 162,358,324 81,179,162 40,589,581 121,768,744 60,884,372 30,442,186 15,221,093 45,663,280 22,831,640 11,415,820 5,707,910 2,853,955 8,561,866 4,280,933 12,842,800 6,421,400 3,210,700 1,605,350 802,675 2,408,026 1,204,013 3,612,040 1,806,020 903,010 451,505 1,354,516 677,258 338,629 1,015,888 507,944 253,972 126,986 63,493 190,480 95,240 47,620 23,810 11,905

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