67,736,248

2³ × 59 × 143509

67,736,248 factors as 2^3 × 59 × 143509. Its 16 positive divisors give a proper-divisor sum of 61,422,752, so this integer is deficient. The Collatz stopping time is 158 steps.

Prime Factor Structure

Factorization String 2^3 × 59 × 143509

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 129,159,000

Proper Divisor Sum 61,422,752

Digit Sum / Digital Root 43 (Root: 7)

Adjacent Primes #67736239 ← → #67736261

Radix Representation

Decimal	67736248
Binary	100000010011001001010111000 (27 bits)
Octal	0o402311270
Hexadecimal	0x40992B8

Divisor Catalog (16)

1 2 4 8 59 118 236 472 143,509 287,018 574,036 1,148,072 8,467,031 16,934,062 33,868,124 67,736,248

Collatz Trajectory (158 steps to reach 1)

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

67,736,248 33,868,124 16,934,062 8,467,031 25,401,094 12,700,547 38,101,642 19,050,821 57,152,464 28,576,232 14,288,116 7,144,058 3,572,029 10,716,088 5,358,044 2,679,022 1,339,511 4,018,534 2,009,267 6,027,802 3,013,901 9,041,704 4,520,852 2,260,426 1,130,213 3,390,640 1,695,320 847,660 423,830 211,915 635,746 317,873 953,620 476,810 238,405 715,216 357,608 178,804 89,402 44,701 134,104 67,052 33,526 16,763 50,290 25,145 75,436 37,718 18,859 56,578 28,289 84,868 42,434 21,217 63,652 31,826 15,913 47,740 23,870 11,935

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