78,436,727

31 × 109 × 139 × 167

78,436,727 factors as 31 × 109 × 139 × 167. Its 16 positive divisors give a proper-divisor sum of 4,353,673, so this integer is deficient. The Collatz stopping time is 223 steps.

Prime Factor Structure

Factorization String 31 × 109 × 139 × 167

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 82,790,400

Proper Divisor Sum 4,353,673

Digit Sum / Digital Root 44 (Root: 8)

Adjacent Primes #78436717 ← → #78436733

Radix Representation

Decimal	78436727
Binary	100101011001101100101110111 (27 bits)
Octal	0o453154567
Hexadecimal	0x4ACD977

Divisor Catalog (16)

1 31 109 139 167 3,379 4,309 5,177 15,151 18,203 23,213 469,681 564,293 719,603 2,530,217 78,436,727

Collatz Trajectory (223 steps to reach 1)

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

78,436,727 235,310,182 117,655,091 352,965,274 176,482,637 529,447,912 264,723,956 132,361,978 66,180,989 198,542,968 99,271,484 49,635,742 24,817,871 74,453,614 37,226,807 111,680,422 55,840,211 167,520,634 83,760,317 251,280,952 125,640,476 62,820,238 31,410,119 94,230,358 47,115,179 141,345,538 70,672,769 212,018,308 106,009,154 53,004,577 159,013,732 79,506,866 39,753,433 119,260,300 59,630,150 29,815,075 89,445,226 44,722,613 134,167,840 67,083,920 33,541,960 16,770,980 8,385,490 4,192,745 12,578,236 6,289,118 3,144,559 9,433,678 4,716,839 14,150,518 7,075,259 21,225,778 10,612,889 31,838,668 15,919,334 7,959,667 23,879,002 11,939,501 35,818,504 17,909,252

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