77,436,728

2³ × 29 × 333779

Prime Factor Structure

Factorization String 2^3 × 29 × 333779

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 150,201,000

Proper Divisor Sum 72,764,272

Digit Sum / Digital Root 44 (Root: 8)

Adjacent Primes #77436727 ← → #77436743

Radix Representation

Decimal	77436728
Binary	100100111011001011100111000 (27 bits)
Octal	0o447313470
Hexadecimal	0x49D9738

Divisor Catalog (16)

1 2 4 8 29 58 116 232 333,779 667,558 1,335,116 2,670,232 9,679,591 19,359,182 38,718,364 77,436,728

Collatz Trajectory (122 steps to reach 1)

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

77,436,728 38,718,364 19,359,182 9,679,591 29,038,774 14,519,387 43,558,162 21,779,081 65,337,244 32,668,622 16,334,311 49,002,934 24,501,467 73,504,402 36,752,201 110,256,604 55,128,302 27,564,151 82,692,454 41,346,227 124,038,682 62,019,341 186,058,024 93,029,012 46,514,506 23,257,253 69,771,760 34,885,880 17,442,940 8,721,470 4,360,735 13,082,206 6,541,103 19,623,310 9,811,655 29,434,966 14,717,483 44,152,450 22,076,225 66,228,676 33,114,338 16,557,169 49,671,508 24,835,754 12,417,877 37,253,632 18,626,816 9,313,408 4,656,704 2,328,352 1,164,176 582,088 291,044 145,522 72,761 218,284 109,142 54,571 163,714 81,857

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