7,256,784

2⁴ × 3 × 19 × 73 × 109

Starting at 7,256,784, the Collatz iteration reaches 1 after 129 steps. The first transition is 3628392; the starting value is even with 80 positive divisors.

Prime Factor Structure

Factorization String 2^4 × 3 × 19 × 73 × 109

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 80

Divisor Sum (σ) 20,187,200

Proper Divisor Sum 12,930,416

Digit Sum / Digital Root 39 (Root: 3)

Adjacent Primes #7256779 ← → #7256791

Radix Representation

Decimal	7256784
Binary	11011101011101011010000 (23 bits)
Octal	0o33535320
Hexadecimal	0x6EBAD0

Divisor Catalog (60 of 80)

1 2 3 4 6 8 12 16 19 24 38 48 57 73 76 109 114 146 152 218 219 228 292 304 327 436 438 456 584 654 872 876 912 1,168 1,308 1,387 1,744 1,752 2,071 2,616 2,774 3,504 4,142 4,161 5,232 5,548 6,213 7,957 8,284 8,322 11,096 12,426 15,914 16,568 16,644 22,192 23,871 24,852 31,828 33,136

Collatz Trajectory (129 steps to reach 1)

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

7,256,784 3,628,392 1,814,196 907,098 453,549 1,360,648 680,324 340,162 170,081 510,244 255,122 127,561 382,684 191,342 95,671 287,014 143,507 430,522 215,261 645,784 322,892 161,446 80,723 242,170 121,085 363,256 181,628 90,814 45,407 136,222 68,111 204,334 102,167 306,502 153,251 459,754 229,877 689,632 344,816 172,408 86,204 43,102 21,551 64,654 32,327 96,982 48,491 145,474 72,737 218,212 109,106 54,553 163,660 81,830 40,915 122,746 61,373 184,120 92,060 46,030

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