82,767,742

2 × 37 × 1118483

82,767,742 factors as 2 × 37 × 1118483. Its 8 positive divisors give a proper-divisor sum of 44,739,434, so this integer is deficient. The Collatz stopping time is 285 steps.

Prime Factor Structure

Factorization String 2 × 37 × 1118483

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 127,507,176

Proper Divisor Sum 44,739,434

Digit Sum / Digital Root 43 (Root: 7)

Adjacent Primes #82767739 ← → #82767757

Radix Representation

Decimal	82767742
Binary	100111011101110111101111110 (27 bits)
Octal	0o473567576
Hexadecimal	0x4EEEF7E

Divisor Catalog (8)

1 2 37 74 1,118,483 2,236,966 41,383,871 82,767,742

Collatz Trajectory (285 steps to reach 1)

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

82,767,742 41,383,871 124,151,614 62,075,807 186,227,422 93,113,711 279,341,134 139,670,567 419,011,702 209,505,851 628,517,554 314,258,777 942,776,332 471,388,166 235,694,083 707,082,250 353,541,125 1,060,623,376 530,311,688 265,155,844 132,577,922 66,288,961 198,866,884 99,433,442 49,716,721 149,150,164 74,575,082 37,287,541 111,862,624 55,931,312 27,965,656 13,982,828 6,991,414 3,495,707 10,487,122 5,243,561 15,730,684 7,865,342 3,932,671 11,798,014 5,899,007 17,697,022 8,848,511 26,545,534 13,272,767 39,818,302 19,909,151 59,727,454 29,863,727 89,591,182 44,795,591 134,386,774 67,193,387 201,580,162 100,790,081 302,370,244 151,185,122 75,592,561 226,777,684 113,388,842

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