8,477,496

2³ × 3² × 19 × 6197

Starting at 8,477,496, the Collatz iteration reaches 1 after 106 steps. The first transition is 4238748; the starting value is even with 48 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 3^2 × 19 × 6197

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 24,172,200

Proper Divisor Sum 15,694,704

Digit Sum / Digital Root 45 (Root: 9)

Adjacent Primes #8477473 ← → #8477507

Radix Representation

Decimal	8477496
Binary	100000010101101100111000 (24 bits)
Octal	0o40255470
Hexadecimal	0x815B38

Divisor Catalog (48)

1 2 3 4 6 8 9 12 18 19 24 36 38 57 72 76 114 152 171 228 342 456 684 1,368 6,197 12,394 18,591 24,788 37,182 49,576 55,773 74,364 111,546 117,743 148,728 223,092 235,486 353,229 446,184 470,972 706,458 941,944 1,059,687 1,412,916 2,119,374 2,825,832 4,238,748 8,477,496

Collatz Trajectory (106 steps to reach 1)

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

8,477,496 4,238,748 2,119,374 1,059,687 3,179,062 1,589,531 4,768,594 2,384,297 7,152,892 3,576,446 1,788,223 5,364,670 2,682,335 8,047,006 4,023,503 12,070,510 6,035,255 18,105,766 9,052,883 27,158,650 13,579,325 40,737,976 20,368,988 10,184,494 5,092,247 15,276,742 7,638,371 22,915,114 11,457,557 34,372,672 17,186,336 8,593,168 4,296,584 2,148,292 1,074,146 537,073 1,611,220 805,610 402,805 1,208,416 604,208 302,104 151,052 75,526 37,763 113,290 56,645 169,936 84,968 42,484 21,242 10,621 31,864 15,932 7,966 3,983 11,950 5,975 17,926 8,963

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