2,417,536

2⁷ × 11 × 17 × 101

Starting at 2,417,536, the Collatz iteration reaches 1 after 236 steps. The first transition is 1208768; the starting value is even with 64 positive divisors.

Prime Factor Structure

Factorization String 2^7 × 11 × 17 × 101

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 64

Divisor Sum (σ) 5,618,160

Proper Divisor Sum 3,200,624

Digit Sum / Digital Root 28 (Root: 1)

Adjacent Primes #2417533 ← → #2417537

Radix Representation

Decimal	2417536
Binary	1001001110001110000000 (22 bits)
Octal	0o11161600
Hexadecimal	0x24E380

Divisor Catalog (60 of 64)

1 2 4 8 11 16 17 22 32 34 44 64 68 88 101 128 136 176 187 202 272 352 374 404 544 704 748 808 1,088 1,111 1,408 1,496 1,616 1,717 2,176 2,222 2,992 3,232 3,434 4,444 5,984 6,464 6,868 8,888 11,968 12,928 13,736 17,776 18,887 23,936 27,472 35,552 37,774 54,944 71,104 75,548 109,888 142,208 151,096 219,776

Collatz Trajectory (236 steps to reach 1)

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

2,417,536 1,208,768 604,384 302,192 151,096 75,548 37,774 18,887 56,662 28,331 84,994 42,497 127,492 63,746 31,873 95,620 47,810 23,905 71,716 35,858 17,929 53,788 26,894 13,447 40,342 20,171 60,514 30,257 90,772 45,386 22,693 68,080 34,040 17,020 8,510 4,255 12,766 6,383 19,150 9,575 28,726 14,363 43,090 21,545 64,636 32,318 16,159 48,478 24,239 72,718 36,359 109,078 54,539 163,618 81,809 245,428 122,714 61,357 184,072 92,036

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