5,493,480

2³ × 3 × 5 × 45779

Starting at 5,493,480, the Collatz iteration reaches 1 after 56 steps. The first transition is 2746740; the starting value is even with 32 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 3 × 5 × 45779

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 16,480,800

Proper Divisor Sum 10,987,320

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #5493473 ← → #5493493

Radix Representation

Decimal	5493480
Binary	10100111101001011101000 (23 bits)
Octal	0o24751350
Hexadecimal	0x53D2E8

Divisor Catalog (32)

1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 45,779 91,558 137,337 183,116 228,895 274,674 366,232 457,790 549,348 686,685 915,580 1,098,696 1,373,370 1,831,160 2,746,740 5,493,480

Collatz Trajectory (56 steps to reach 1)

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

5,493,480 2,746,740 1,373,370 686,685 2,060,056 1,030,028 515,014 257,507 772,522 386,261 1,158,784 579,392 289,696 144,848 72,424 36,212 18,106 9,053 27,160 13,580 6,790 3,395 10,186 5,093 15,280 7,640 3,820 1,910 955 2,866 1,433 4,300 2,150 1,075 3,226 1,613 4,840 2,420 1,210 605 1,816 908 454 227 682 341 1,024 512 256 128 64 32 16 8 4 2 1

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